Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan 3 3 3 4 5 6 8 10 11 12 12 9 7 6 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 3 3 3 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 3 3 4 4 4 4 4 5 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 6 6 5 5 6 5 6 6 6 6 7 7 7 7 8 9 10 10 10 9 9 9 8 8 7 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 6 10 17 14 9 7 7 4 7 5 8 7 8 10 6 2 6 10 6 3 5 3 3 5 8 5 -2 -1 2 -1 0 4 5 4 9 13 8 1 -1 1 8 8 1 -1 6 13 11 6 3 5 10 11 8 6 5 4 4 8 9 6 5 6 8 10 11 9 9 15 24 28 28 28 22 10 4 4 5 5 4 3 3 3 4 4 5 4 4 4 4 4 4 4 3 3 3 2 1 2 2 2 3 3 3 4 4 4 5 5 4 5 5 6 7 9 12 17 23 27 26 15 7 6 6 6 6 5 6 8 7 5 5 5 4 4 4 4 4 4 5 5 5 5 5 2 4 3 3 3 3 4 4 5 5 5 4 3 2 3 3 5 6 5 5 4 4 4 4 3 3 3 3 2 3 3 3 2 2 2 2 2 3 3 4 5 5 6 6 5 5 5 5 4 4 3 2 2 2 1 1 1 0 0 0 0 -0 -0 -0 -0 -0 -0 -0 0 2 8 14 13 10 13 25 36 26 12 8 7 5 -0 -2 -8 -7 -14 -6 1 -3 -2 3 4 3 -2 -4 -6 -13 -15 -10 -6 -8 -8 -5 2 5 5 5 5 8 11 15 17 16 6 1 5 6 7 7 6 6 7 12 13 12 14 14 12 9 8 8 8 8 7 5 5 4 4 5 5 5 6 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 3 3 2 3 3 4 5 7 8 9 11 12 10 8 7 5 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 3 3 4 4 5 5 4 4 4 4 4 4 4 4 4 3 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 4 4 4 3 4 4 5 5 4 5 5 4 4 4 3 3 4 4 5 5 5 5 5 5 5 5 5 6 6 6 5 5 6 6 6 6 5 5 7 7 7 7 8 10 11 11 12 10 9 9 8 8 8 7 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 14 19 18 14 10 8 7 6 6 5 5 11 10 6 -1 -1 6 7 7 7 0 -4 -1 3 3 -0 -1 1 -2 -1 1 2 6 13 16 10 2 -2 -1 9 15 12 8 10 14 12 4 1 3 7 8 8 10 8 5 5 6 6 7 8 6 6 10 11 10 10 17 24 26 27 24 14 6 4 5 5 4 4 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 3 3 3 3 4 4 4 5 5 5 5 5 5 6 8 12 17 24 28 23 14 8 6 6 6 6 7 8 9 8 6 5 5 5 5 5 5 5 5 5 4 3 3 -0 -1 3 3 2 2 3 4 4 4 5 5 5 4 4 3 3 3 5 5 4 4 3 4 4 3 3 2 2 2 3 3 3 2 2 2 2 2 3 3 3 4 4 5 5 5 5 5 4 4 4 3 3 2 2 1 1 1 1 1 1 0 0 1 1 1 -0 -1 -1 -0 5 11 12 8 6 6 11 23 32 30 24 18 13 11 10 7 3 2 1 4 2 4 3 5 11 9 3 -0 -1 -2 -3 -1 -3 -6 -8 -3 2 5 4 5 5 6 7 8 11 8 4 5 6 6 6 6 5 5 7 8 10 11 12 11 9 8 8 9 9 7 6 5 4 4 3 3 4 5 4 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 4 3 3 3 2 3 3 4 5 6 8 11 11 11 10 8 6 5 4 3 4 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 5 5 5 5 5 4 3 3 4 5 5 4 5 4 4 4 4 3 4 4 4 4 4 5 5 5 4 5 5 5 6 6 6 5 6 6 7 6 6 5 6 6 7 7 7 8 9 12 12 12 12 10 9 8 8 8 7 6 6 5 5 5 5 5 5 5 5 5 6 6 6 7 6 6 6 6 9 17 19 21 20 14 10 6 -0 2 5 6 12 9 6 -1 -6 -5 2 12 14 7 -1 -0 4 5 2 1 -0 -1 1 2 3 6 12 16 11 3 -0 3 12 18 15 10 7 10 10 7 4 3 4 6 8 9 9 9 8 4 4 9 9 6 5 8 9 10 10 14 20 24 22 15 7 4 4 5 5 4 4 3 4 4 4 4 4 4 3 4 4 4 3 3 3 3 2 2 2 2 2 3 3 3 4 4 4 4 5 5 5 4 5 5 6 8 10 15 23 31 26 11 4 5 5 5 6 7 7 7 6 7 6 6 6 6 5 5 5 5 5 3 2 3 -5 -9 -1 3 -1 -3 1 3 4 4 4 5 5 5 4 4 3 3 3 4 3 3 3 3 3 3 3 2 2 3 2 2 2 2 2 2 2 3 3 3 3 3 4 4 4 5 4 4 4 3 3 3 4 2 2 2 1 1 1 1 1 3 4 7 10 9 5 3 1 3 10 11 7 4 5 5 5 8 17 24 30 26 15 12 9 6 4 6 6 8 8 6 2 4 10 12 8 4 4 7 6 5 2 -1 -2 -1 2 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 9 11 11 10 9 9 9 9 8 7 6 5 3 2 2 3 3 4 5 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 5 5 4 4 3 3 3 3 3 4 5 7 8 10 11 11 10 8 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 4 3 3 2 2 2 2 3 4 4 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 5 5 6 6 6 5 6 6 6 6 5 6 7 6 6 6 7 9 11 12 13 12 10 9 9 8 7 7 6 6 5 5 4 4 4 5 5 5 6 6 6 6 7 6 6 6 6 8 10 9 14 18 11 9 5 -1 -1 4 6 5 2 2 2 -2 -5 -1 10 15 13 9 6 7 6 4 2 -0 1 4 5 7 7 7 9 7 2 2 6 12 14 11 7 5 3 4 8 10 6 3 4 6 5 6 10 9 5 6 9 8 8 7 7 8 9 10 15 22 21 14 8 5 4 4 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 4 4 4 5 4 5 5 5 5 5 5 7 9 13 18 28 33 18 4 3 4 5 5 5 5 4 5 6 6 6 6 6 5 5 5 4 4 3 4 5 -1 -10 -6 -0 -1 -4 -0 3 3 3 3 4 5 5 5 4 3 3 3 2 2 2 1 2 3 3 3 3 3 2 2 2 2 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 4 11 20 26 26 21 14 11 13 13 9 4 3 3 3 3 3 4 9 19 24 16 11 10 7 4 4 5 8 10 8 5 3 5 9 8 6 7 5 2 2 3 3 3 4 4 4 4 5 5 5 6 6 6 6 6 6 6 5 6 6 6 6 6 5 5 6 8 9 10 9 9 9 8 8 9 9 7 5 2 2 2 2 3 4 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 4 5 5 5 5 4 3 3 3 3 3 4 5 6 9 10 11 11 9 8 7 7 6 6 6 6 6 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 3 3 3 2 2 3 3 4 4 5 5 4 4 3 3 3 3 3 3 4 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 4 4 5 5 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 3 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 6 5 5 7 9 11 12 13 12 11 9 9 8 8 7 6 6 5 4 4 3 4 4 5 5 5 6 6 7 7 7 7 6 6 6 3 0 5 8 4 7 9 3 2 4 2 1 2 5 9 7 3 1 5 8 10 9 7 5 3 2 2 1 4 7 7 10 9 5 4 3 1 3 4 3 4 5 7 6 2 0 5 8 5 -0 -2 2 1 5 9 8 8 8 9 10 9 7 6 7 8 12 20 22 15 7 5 4 5 5 5 4 4 3 4 4 5 4 4 4 3 4 3 3 3 3 3 3 3 2 3 3 2 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 8 11 14 21 33 30 12 5 4 4 3 4 4 4 4 5 5 4 4 4 4 4 4 3 4 4 5 6 4 -2 -8 -4 7 8 4 4 4 3 3 4 4 5 4 4 4 3 3 2 3 2 1 2 3 3 3 3 3 3 3 2 2 3 2 3 3 3 3 3 3 3 3 2 3 2 2 2 2 1 1 1 1 1 2 1 1 1 1 0 2 8 18 30 36 35 33 29 24 21 13 6 2 -0 -2 -3 -1 -2 -2 0 5 12 12 9 8 8 6 5 5 7 9 10 8 6 7 10 9 7 8 6 3 3 4 6 6 5 4 4 4 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 5 4 3 3 5 6 7 8 7 7 8 9 10 11 10 8 5 2 1 2 2 4 5 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 3 3 3 4 4 4 4 4 4 3 4 3 3 3 4 5 7 8 9 10 10 9 8 7 7 7 7 6 6 5 5 4 4 4 4 4 4 4 5 4 5 5 4 4 3 3 2 2 3 3 4 4 4 5 4 4 4 3 3 3 3 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 4 4 5 5 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 6 6 6 6 6 6 5 5 6 7 7 6 5 5 7 9 11 12 12 11 10 10 9 9 8 7 6 5 5 4 4 4 4 4 5 6 5 6 7 7 7 7 7 6 6 6 5 7 9 2 -3 6 11 3 -0 0 1 5 7 10 11 9 6 6 9 9 9 9 7 4 3 4 4 4 5 7 8 11 10 8 5 2 2 5 2 -3 -4 -0 5 8 5 1 0 1 5 4 -2 -1 6 10 9 8 10 9 11 11 10 6 6 7 8 14 19 14 7 5 5 4 5 5 5 4 3 3 4 4 4 5 4 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 7 9 11 16 27 32 20 10 8 6 4 3 4 4 4 4 4 4 3 3 4 4 4 5 5 5 5 6 6 3 -4 -5 4 11 7 4 3 4 4 4 4 4 5 4 4 4 3 3 3 3 3 3 3 3 4 3 3 4 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 1 2 1 1 1 1 1 1 1 0 0 1 3 8 13 20 25 27 28 29 30 28 19 8 3 0 -3 -7 -10 -8 -9 -9 -5 -1 3 7 7 6 7 7 6 4 5 6 8 13 11 9 15 14 9 8 6 5 5 5 5 5 5 4 4 4 3 2 3 4 5 6 6 6 6 6 6 6 7 6 6 5 4 3 2 3 4 4 5 5 6 6 8 9 11 11 10 7 3 1 2 3 4 4 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 4 3 2 3 3 4 4 4 4 4 4 4 3 3 3 3 4 4 6 7 8 8 8 7 7 8 8 7 7 6 5 4 3 3 2 2 3 4 4 4 5 4 5 4 4 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 5 6 6 5 5 6 5 5 5 6 7 7 6 5 5 6 8 10 11 12 11 10 10 9 8 7 7 6 5 5 4 4 4 4 4 5 5 5 5 7 7 7 8 7 6 6 6 8 13 15 7 -0 3 4 -5 -9 -4 5 9 7 5 5 5 5 9 11 8 10 12 8 5 6 6 5 5 6 4 7 9 9 8 5 4 7 10 6 3 -2 -2 -0 6 8 4 1 -0 7 12 3 1 10 12 10 9 10 9 8 9 8 5 5 6 9 16 15 8 5 5 5 5 4 5 5 4 3 3 4 5 5 5 4 3 3 3 3 3 3 2 2 2 3 3 2 3 3 3 3 3 4 3 4 4 4 4 5 5 5 5 5 5 5 6 8 10 13 20 29 22 12 11 10 8 6 6 6 5 5 5 5 5 4 3 4 5 6 7 6 5 4 4 4 2 -4 -6 -0 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 1 1 1 1 0 0 0 0 0 0 1 4 10 16 18 16 13 13 15 17 18 17 11 5 3 1 -3 -6 -8 -6 -4 -7 -5 1 3 5 6 6 5 6 7 6 5 4 1 4 9 10 14 14 9 6 5 5 4 4 4 5 5 5 5 6 3 -1 -1 2 4 6 5 6 6 6 6 6 7 7 7 6 5 4 3 3 4 4 3 3 4 5 6 8 9 11 10 7 4 3 3 4 3 4 5 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 4 3 2 2 2 2 3 3 4 4 5 4 3 3 2 2 3 3 4 4 5 5 5 5 5 7 7 7 7 8 7 5 4 3 2 2 2 3 3 3 3 4 4 4 4 4 3 3 3 3 4 4 4 4 4 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 7 7 7 5 4 5 7 9 10 10 11 10 9 9 8 7 7 6 5 5 4 3 4 4 4 5 5 5 5 6 7 7 7 7 6 6 6 7 9 11 11 10 7 1 -5 -6 -1 4 4 2 1 1 4 9 13 10 7 10 12 8 4 5 5 4 4 7 7 7 6 5 6 3 3 10 15 12 10 6 3 -1 2 8 14 11 1 3 9 7 5 7 9 9 9 11 8 5 5 5 5 6 8 13 18 13 7 5 5 4 5 5 5 4 4 3 3 4 4 5 4 3 3 4 3 3 3 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 5 4 5 5 5 6 5 5 5 6 8 11 16 27 26 14 10 11 11 12 12 10 7 7 8 8 9 8 6 5 7 7 7 6 4 3 4 4 4 1 -4 -4 2 5 5 5 5 4 4 4 4 4 3 3 3 3 3 2 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 0 1 1 0 1 1 0 2 4 10 17 19 15 10 7 7 7 8 8 7 5 3 3 3 2 1 0 1 3 3 2 3 5 4 4 6 6 5 5 6 7 8 2 -6 -3 4 8 8 6 5 5 5 4 4 4 4 5 5 7 11 10 -1 -8 -5 1 5 6 6 6 5 6 6 7 8 8 6 6 5 4 3 3 4 3 2 3 4 6 8 9 9 10 8 4 4 3 3 4 4 5 6 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 2 2 1 1 1 2 2 1 1 2 4 4 4 3 2 2 2 3 4 4 3 3 3 3 4 5 5 6 6 7 7 7 5 5 4 4 3 3 3 3 3 3 3 3 4 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 3 4 3 3 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 5 5 6 6 5 4 4 5 6 7 6 5 4 4 6 8 8 9 10 10 9 9 8 7 6 5 5 5 4 3 3 4 4 4 5 5 5 6 7 7 7 7 7 6 6 6 6 6 8 12 12 7 4 4 5 4 2 3 4 6 7 12 14 10 9 10 8 8 6 4 3 3 5 9 10 7 4 4 4 1 2 10 15 13 11 11 7 3 1 2 6 10 8 6 5 7 6 8 15 14 10 10 8 5 4 4 6 8 12 18 17 10 6 6 5 4 5 5 5 4 3 3 4 4 4 4 4 4 3 4 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 8 12 23 33 27 17 14 13 14 16 14 11 9 9 10 13 14 13 10 8 6 4 4 4 3 4 5 5 5 3 -1 0 4 5 5 5 5 5 4 4 4 4 4 4 3 3 3 2 3 3 4 4 4 4 3 3 3 3 3 3 3 3 2 1 2 2 2 2 2 2 2 1 1 1 0 0 1 1 1 1 2 5 9 15 17 14 9 7 6 7 6 6 6 6 7 4 -1 3 5 5 4 4 3 4 5 4 4 4 4 4 6 7 6 5 8 14 12 0 -5 -1 4 4 4 5 5 5 4 4 4 4 5 5 8 16 20 8 -3 -10 -6 3 6 6 6 6 5 6 8 9 8 6 6 5 4 3 3 3 3 2 2 4 5 7 8 10 11 8 5 4 3 4 5 5 5 6 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 2 3 2 1 1 0 1 3 3 1 -1 -1 1 4 4 4 3 2 2 3 3 3 2 2 2 2 3 3 4 4 5 5 6 6 6 7 7 6 6 6 5 4 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 4 4 4 4 4 3 3 4 4 3 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 5 4 4 4 4 4 4 3 4 4 4 5 4 4 4 4 5 5 5 5 5 5 4 4 5 5 6 6 5 4 4 4 5 6 7 8 9 9 8 8 7 6 6 5 5 4 4 3 4 4 4 5 5 5 6 7 8 8 8 7 7 6 6 6 5 5 6 8 10 11 6 5 7 8 11 14 14 11 10 11 11 11 10 6 6 6 5 3 3 5 9 11 6 4 5 7 4 3 9 13 10 8 7 4 5 2 0 3 2 7 7 0 3 0 8 18 21 17 12 7 2 -1 1 6 9 14 18 13 7 6 5 5 5 5 5 4 4 3 3 3 4 4 4 4 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 7 13 25 32 30 25 22 19 18 16 13 10 9 9 11 14 17 15 11 6 5 5 5 5 4 4 5 5 5 2 2 3 4 4 4 5 5 5 4 5 5 5 4 4 3 3 3 3 3 3 4 4 4 3 3 2 2 2 2 2 3 2 1 1 1 2 2 2 2 2 2 1 1 0 0 1 1 1 2 5 10 14 15 12 7 5 5 6 6 6 5 5 7 11 12 5 3 5 5 4 4 4 3 4 4 3 3 5 7 10 13 11 9 8 13 17 11 2 2 4 4 4 4 5 5 5 4 4 4 4 5 7 15 22 14 7 3 -5 0 6 6 6 5 5 6 8 9 9 8 6 5 4 3 4 4 3 2 2 3 4 5 7 10 12 9 6 5 4 4 4 4 4 5 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 4 3 2 0 0 1 2 4 3 0 -1 -1 1 3 4 4 3 3 2 2 2 2 2 2 2 2 3 3 3 3 4 5 5 6 7 8 8 8 8 7 6 5 4 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 4 4 4 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 5 5 5 5 4 4 4 5 6 6 5 4 3 4 4 5 6 7 8 8 7 7 6 6 6 6 5 5 4 4 5 5 4 4 5 6 6 8 9 10 10 9 7 7 7 6 5 5 5 7 8 5 1 2 9 13 16 15 11 8 7 8 10 12 11 8 5 5 5 3 1 3 8 9 5 4 7 12 7 2 5 8 7 6 5 3 5 3 8 11 -1 4 0 -6 -4 -4 4 15 18 15 9 4 1 3 5 6 9 14 15 9 5 5 5 5 5 5 5 5 4 3 3 3 4 4 4 3 3 3 3 2 2 2 3 3 2 2 3 3 3 3 3 3 4 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 10 19 26 28 28 28 24 22 20 17 17 15 13 13 14 16 14 10 8 7 8 8 7 6 6 6 7 8 5 2 2 2 3 3 3 4 4 4 4 5 4 4 3 3 3 2 2 2 3 3 3 3 3 2 2 1 1 2 3 3 2 1 1 1 2 2 2 2 2 1 1 1 1 0 0 1 2 7 12 13 10 6 5 5 5 4 3 4 4 4 4 9 14 12 6 6 6 5 5 6 5 6 6 6 6 7 10 15 18 17 11 9 8 9 9 6 4 4 4 4 4 4 5 5 4 4 4 4 5 5 9 15 11 7 9 4 2 5 6 6 5 5 6 7 9 10 9 8 6 5 4 4 4 3 2 2 3 3 3 4 8 11 11 11 9 6 4 4 3 3 4 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 4 4 3 1 0 0 2 5 5 2 0 -0 0 1 2 3 4 4 4 2 2 2 2 1 1 2 2 3 3 3 3 3 4 4 5 6 7 7 8 8 7 6 5 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 3 2 2 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 4 5 5 4 4 4 4 4 5 5 5 4 4 3 4 4 5 7 7 6 6 6 6 6 6 6 5 4 4 4 5 6 5 4 4 5 7 9 10 10 10 10 8 8 8 7 5 5 7 8 4 -4 -4 3 10 12 10 9 6 3 4 7 8 11 11 8 5 4 5 4 1 1 6 8 5 5 10 11 6 0 -0 4 4 3 4 8 9 8 15 14 2 3 9 6 3 3 9 14 8 5 5 4 7 13 14 9 9 15 12 6 5 6 5 5 5 5 5 5 4 3 3 4 4 4 4 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 6 11 15 18 21 23 24 24 25 25 24 22 19 15 14 15 14 13 13 15 17 18 15 12 11 11 11 5 2 2 1 1 2 3 3 3 3 3 3 3 2 2 2 3 2 2 2 2 3 3 3 2 2 0 -0 -1 0 1 3 3 2 1 1 1 1 2 2 1 1 1 2 1 1 0 0 2 6 10 9 5 3 3 4 3 -0 -2 -2 -1 1 2 5 9 9 6 6 6 6 6 6 6 7 10 9 10 12 11 10 12 13 9 6 5 5 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 7 8 6 6 3 2 5 7 7 6 6 6 7 9 9 9 8 7 7 6 5 4 3 3 2 3 2 0 1 3 7 14 15 11 8 5 4 3 3 4 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 3 4 3 3 1 1 3 5 6 4 2 1 1 1 1 1 3 4 5 4 2 1 1 0 1 1 2 2 2 2 3 3 3 4 4 4 5 6 7 7 6 6 4 4 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 5 5 4 4 3 3 4 5 6 5 5 5 5 5 5 6 5 4 4 3 3 4 5 5 4 4 5 8 8 7 7 8 8 8 7 7 8 7 3 0 -3 -2 -5 -2 5 10 5 4 9 12 4 2 4 7 9 8 7 8 8 7 7 4 2 4 6 5 9 14 10 6 5 3 3 4 3 1 6 9 11 12 9 9 7 19 25 20 16 15 11 4 3 6 7 11 14 13 10 13 16 10 5 5 6 5 5 5 5 5 4 3 3 3 4 4 4 4 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 4 5 6 6 6 5 5 5 5 5 5 5 5 5 4 4 5 6 8 11 14 16 17 17 20 22 23 23 22 20 20 24 26 23 22 20 19 19 17 16 9 4 3 2 2 2 2 3 2 1 2 2 1 1 1 1 2 2 2 2 2 2 3 2 2 2 1 -0 -2 -3 -2 1 2 3 2 2 1 1 2 1 1 1 1 1 1 1 0 1 4 5 4 3 4 5 2 0 0 0 -3 -8 -10 -9 -6 -3 -0 4 6 4 4 5 6 7 8 7 6 8 8 8 9 7 4 4 5 5 4 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 4 4 5 5 5 7 10 5 0 3 7 7 7 7 6 7 8 9 9 8 9 8 6 6 5 5 4 3 3 2 2 0 -1 3 10 13 10 7 5 3 4 4 5 6 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 3 2 3 4 4 2 2 4 7 6 4 3 3 3 3 2 1 1 3 5 5 4 2 1 1 1 2 2 2 2 2 3 3 3 3 3 4 4 4 5 6 5 5 4 4 3 3 3 3 3 3 2 2 2 2 3 4 4 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 4 4 4 5 5 5 4 3 3 3 3 4 5 5 5 4 5 8 4 1 3 5 6 7 6 6 9 8 2 -7 -10 -3 -1 2 6 10 3 11 15 10 2 2 3 7 7 6 8 9 10 11 10 8 4 3 4 6 11 14 10 8 10 8 4 5 2 0 3 5 8 7 6 7 4 14 23 21 17 13 8 8 10 10 9 10 10 8 11 16 13 8 6 6 6 6 5 5 5 5 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 4 4 4 5 5 4 5 6 6 5 5 5 5 5 5 5 5 5 4 4 4 5 5 4 5 6 7 6 7 9 11 16 20 22 22 22 21 20 16 12 9 12 14 15 14 8 5 5 4 4 4 3 2 2 3 2 3 3 3 4 5 6 6 5 3 2 2 3 3 3 3 3 1 -1 -2 1 3 3 4 3 2 2 2 2 2 2 2 1 1 0 0 2 6 12 13 4 -5 -3 2 2 -3 -5 -4 -3 -6 -7 -8 -8 -3 1 3 4 4 4 4 5 7 12 15 9 6 7 4 2 3 3 3 3 4 4 5 5 5 5 6 5 5 6 5 4 4 4 4 4 4 4 4 4 5 5 4 5 8 9 4 3 7 8 8 7 7 7 8 7 7 8 8 8 7 6 6 6 5 4 3 4 5 3 -1 -1 5 10 9 6 4 3 4 5 6 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 3 2 3 4 4 4 3 5 7 5 3 3 4 4 3 2 2 2 2 4 5 5 4 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 5 5 5 4 4 3 3 3 3 3 2 2 2 2 2 2 3 4 4 4 4 4 3 4 3 3 3 3 3 4 4 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 6 6 6 5 5 4 4 5 5 5 5 5 5 3 3 4 5 6 4 2 2 3 2 3 4 5 6 6 5 5 5 2 0 3 5 6 6 5 6 9 8 3 -4 -6 1 2 2 3 5 2 7 13 3 5 3 3 6 5 6 11 10 10 12 12 9 4 2 3 6 10 10 6 5 6 5 4 4 0 -1 2 6 7 5 7 7 5 7 11 12 13 12 11 12 11 9 7 6 6 7 13 15 10 6 6 6 6 6 5 5 5 5 4 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 4 4 4 5 4 5 6 5 6 6 5 5 4 5 5 4 5 5 4 4 4 5 5 5 5 4 4 4 4 4 5 7 8 9 12 12 7 4 4 4 5 5 7 9 9 7 7 6 6 6 5 4 4 3 3 3 3 3 5 11 15 15 14 10 5 2 2 4 6 6 6 6 5 4 6 9 9 6 6 4 2 2 2 2 2 2 1 1 0 0 2 7 14 20 19 6 -8 -10 -7 -4 -5 -5 -3 -1 -0 1 2 1 3 5 6 5 5 4 5 6 8 14 19 16 10 7 3 2 3 3 4 4 4 4 4 5 6 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 5 5 5 5 6 7 6 7 8 9 8 8 8 11 7 4 7 7 7 6 7 7 6 6 6 5 5 6 6 2 -0 3 7 7 5 4 4 5 6 7 9 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 3 2 3 3 4 4 3 4 6 5 3 3 4 4 4 3 3 2 2 4 4 4 4 4 4 3 2 2 3 3 3 3 3 3 2 2 2 3 4 4 5 5 4 4 3 3 2 2 2 1 2 2 2 2 2 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 5 4 4 5 5 6 6 6 5 5 5 4 4 4 6 6 6 5 4 3 4 5 5 3 2 2 2 3 3 4 5 5 6 6 5 4 3 4 6 6 6 6 6 7 9 8 5 1 -1 1 7 6 5 -1 -1 -5 3 2 10 6 4 2 3 6 11 10 10 11 10 8 5 3 3 5 8 6 2 1 1 2 3 4 2 2 5 7 6 5 7 6 6 4 7 8 11 10 9 9 8 7 5 4 5 10 15 12 7 7 6 6 6 5 5 5 5 5 4 3 3 4 5 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 4 3 3 4 4 4 4 4 4 5 6 6 6 6 6 5 4 4 5 5 5 5 5 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 7 7 7 6 6 6 6 5 5 4 3 3 3 5 13 24 28 26 18 8 2 1 4 6 7 7 7 7 6 9 13 14 9 6 4 2 2 2 2 2 2 2 2 2 3 6 10 14 16 16 7 -5 -11 -9 -6 -1 0 0 1 2 2 4 5 5 5 5 6 6 6 6 7 1 -1 9 13 8 6 4 4 3 3 3 4 4 4 4 5 5 6 6 6 6 6 7 7 6 6 5 4 4 4 4 4 4 4 5 5 5 5 6 7 7 8 10 9 8 8 11 10 5 6 7 7 6 6 6 7 7 7 7 6 8 9 8 5 5 6 8 7 4 5 6 6 7 9 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 2 2 3 4 4 3 3 4 5 5 4 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 4 4 4 5 4 3 2 2 2 2 2 2 2 2 2 2 3 3 4 4 3 3 4 4 3 3 3 3 3 3 3 2 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 5 4 4 5 6 6 6 5 5 5 5 5 4 4 5 6 7 8 6 4 3 4 5 4 3 2 2 3 4 4 5 5 6 7 6 5 6 6 7 7 8 7 7 7 8 8 7 4 -0 1 10 10 8 4 4 -6 2 8 15 10 7 2 2 3 5 8 9 9 8 8 7 5 4 7 11 7 3 2 3 4 6 4 4 8 11 8 6 5 3 4 3 1 6 8 8 7 5 6 6 4 4 5 8 12 14 11 7 7 7 6 6 5 5 5 6 5 4 4 3 4 5 5 4 4 4 3 3 3 3 3 3 3 4 4 3 4 4 3 3 4 4 4 3 4 4 4 4 4 4 4 5 6 6 6 5 5 4 4 5 5 5 5 5 5 4 4 4 5 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 6 5 5 6 5 6 6 6 6 6 6 5 5 4 4 4 3 2 3 10 23 33 35 26 13 4 1 2 3 3 4 5 4 3 4 8 9 8 5 5 4 4 6 6 5 4 6 7 8 9 10 6 0 3 7 7 4 1 1 3 3 3 3 3 3 2 2 3 5 5 5 6 9 11 11 8 4 -2 1 6 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 7 7 7 7 6 5 5 4 4 4 4 4 5 5 5 5 6 7 7 8 9 9 8 7 7 8 7 7 7 7 6 6 6 6 7 8 8 7 8 11 12 10 9 10 13 10 7 6 6 6 7 9 10 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 5 4 3 3 3 4 4 4 4 4 5 5 4 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 2 2 2 3 3 4 4 5 4 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 4 4 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 2 3 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 5 5 4 4 6 6 6 6 6 5 5 4 5 5 4 5 6 8 9 8 5 3 3 4 4 3 3 2 3 4 4 5 5 5 6 7 7 7 6 6 8 8 8 7 6 6 7 8 7 2 2 10 17 10 7 9 3 1 7 11 9 9 4 3 2 4 8 7 7 7 7 8 7 5 8 12 11 9 7 8 10 10 4 4 10 12 10 6 4 2 2 1 1 4 5 5 3 4 6 4 4 5 6 8 10 12 10 8 7 7 6 5 5 5 6 6 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 3 3 4 4 4 5 5 5 5 6 5 5 4 4 5 5 5 4 5 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 5 5 5 5 6 6 6 6 5 4 4 4 4 4 3 3 3 7 14 25 31 30 20 7 2 1 0 0 -0 0 -1 1 4 4 5 4 4 5 8 13 19 19 14 10 11 14 14 11 7 2 -4 -5 1 7 10 10 8 8 5 4 5 5 4 4 4 3 6 8 10 11 11 11 12 13 12 8 3 4 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 6 6 7 8 8 7 6 6 5 5 5 4 4 4 5 4 4 5 7 8 8 8 9 9 7 6 6 6 6 6 6 6 6 5 5 5 7 7 8 8 9 11 12 12 16 16 13 10 8 7 6 7 9 10 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 6 5 5 4 4 4 4 4 5 5 4 4 3 3 3 3 3 4 4 4 3 4 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 2 2 2 2 2 2 3 3 5 5 5 4 3 3 2 3 3 3 3 3 2 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 5 5 5 6 6 5 4 5 6 7 7 7 6 5 4 5 5 5 4 4 6 7 8 9 7 5 3 3 4 3 3 3 3 4 4 4 5 5 6 7 8 8 7 7 7 7 8 8 7 6 6 8 8 4 3 12 24 15 6 4 6 -4 0 -2 5 8 5 5 6 8 10 7 7 7 7 7 7 7 7 6 9 12 10 10 13 12 6 5 8 9 9 5 3 3 3 2 2 2 4 4 2 6 6 4 5 5 6 6 10 12 9 8 7 6 6 5 5 6 6 6 6 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 3 4 4 4 3 3 4 4 3 4 4 4 4 3 4 4 4 5 5 5 5 5 5 5 4 4 5 5 5 4 5 5 5 4 4 4 4 5 5 4 4 4 4 4 4 5 5 5 5 6 6 5 5 5 5 5 5 5 5 6 5 4 3 3 4 4 5 4 4 4 6 8 13 21 28 27 14 5 4 3 2 0 -1 -4 -1 10 12 7 3 2 5 13 25 32 30 25 18 16 17 15 10 7 6 3 0 2 6 8 9 9 7 5 5 7 7 7 9 14 11 9 13 16 17 13 5 4 9 8 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 6 6 7 8 8 8 7 6 6 5 4 4 4 7 5 0 3 7 8 7 8 9 9 7 6 5 5 5 6 6 6 5 5 5 6 6 6 6 8 8 8 10 11 15 17 16 13 10 9 8 6 7 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 8 7 6 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 2 2 2 2 2 2 3 3 4 5 5 4 3 3 3 3 3 3 2 2 2 2 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 5 5 4 4 3 4 5 5 6 6 5 4 5 6 7 7 7 7 5 4 5 5 5 5 5 6 6 8 9 9 7 5 4 4 4 3 3 3 4 4 4 5 5 6 7 8 8 8 7 7 7 7 8 9 8 6 6 6 3 2 11 21 14 2 3 6 -4 -3 -7 1 2 4 7 11 12 10 6 8 8 7 6 7 10 10 8 8 9 9 10 11 10 6 6 6 7 6 3 2 2 4 2 3 4 5 5 6 9 6 5 6 5 6 6 10 10 8 8 7 6 5 5 6 7 7 7 6 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 3 4 3 3 3 3 3 3 4 4 3 3 4 4 4 5 5 5 5 5 5 4 4 4 4 5 4 4 5 5 4 5 4 4 5 5 5 4 4 5 4 4 4 5 5 5 5 6 5 5 5 4 4 5 5 5 5 5 5 4 3 3 4 5 5 4 4 4 5 5 7 11 21 31 29 15 9 8 6 4 2 -1 -0 10 18 14 7 5 8 15 26 30 28 26 23 17 14 12 9 7 6 6 5 5 5 5 6 7 6 6 6 10 13 13 15 19 20 18 16 13 11 11 6 2 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 4 5 5 5 5 5 5 5 6 7 7 7 7 7 6 6 6 5 5 8 10 3 1 6 8 8 8 9 9 7 6 5 5 5 6 6 6 6 5 5 6 6 6 6 6 7 7 7 8 10 13 15 14 14 13 9 5 7 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 8 7 7 6 7 6 6 5 6 6 5 5 4 4 3 3 3 3 3 4 5 5 5 4 3 3 3 4 4 3 3 3 4 3 3 3 3 3 3 3 3 2 2 2 2 3 4 4 4 4 4 3 3 4 4 3 2 2 2 2 2 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 5 4 4 4 4 5 6 6 6 5 5 6 8 8 7 7 6 5 5 5 6 6 6 5 6 7 10 11 10 8 7 6 5 4 3 3 4 4 4 5 5 6 7 8 9 9 7 7 7 7 8 10 10 8 6 7 5 -1 4 12 8 1 8 9 2 -6 -7 -0 -1 4 8 13 13 9 5 8 9 7 6 9 15 16 13 9 8 8 10 10 7 5 3 3 5 4 4 3 2 2 3 7 8 6 7 10 10 6 6 6 5 6 7 12 11 8 8 7 6 5 5 6 8 8 7 6 5 4 4 4 4 4 4 4 3 3 3 3 3 3 4 3 3 3 4 4 4 3 3 3 3 3 3 4 4 3 4 4 4 5 5 5 5 5 5 4 4 4 4 4 5 4 4 4 5 5 5 4 4 4 4 4 5 5 5 5 4 4 5 5 5 6 5 4 4 4 4 4 4 5 5 5 5 4 3 3 3 4 4 5 5 4 4 5 5 5 7 12 24 34 31 21 12 9 6 4 3 3 8 15 13 9 7 6 8 13 17 16 17 18 13 9 7 6 5 5 6 4 4 3 3 4 5 6 7 7 12 16 17 15 14 16 15 10 6 5 7 7 3 4 4 4 5 5 6 5 5 5 5 6 6 6 6 6 6 5 4 4 5 5 5 4 4 4 5 6 7 7 7 6 5 6 6 6 5 6 9 8 4 7 9 8 8 9 9 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 5 5 6 8 9 9 11 16 17 11 8 8 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 6 7 7 7 7 7 7 7 6 6 6 7 6 6 6 5 3 3 4 4 5 6 6 6 5 4 3 3 4 4 4 4 4 4 3 3 3 3 3 4 4 4 3 2 2 2 3 3 3 4 4 4 3 3 4 3 3 3 3 3 2 2 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 2 3 2 2 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 7 6 6 7 8 9 8 7 5 5 7 9 9 7 6 4 5 7 9 10 10 9 9 8 8 6 4 3 3 4 4 4 4 5 7 8 9 9 8 7 7 8 9 10 11 7 5 9 9 -1 -1 4 2 3 13 15 9 -2 -5 1 1 2 6 11 13 8 5 9 11 8 7 14 21 19 12 9 8 8 9 8 6 1 -3 -1 4 5 5 6 7 6 5 9 9 8 11 12 8 5 5 5 5 5 8 12 11 8 7 7 6 6 6 7 8 8 7 6 5 4 4 5 5 5 4 3 3 3 3 3 3 3 4 4 3 3 3 3 3 4 3 3 3 3 3 4 3 3 4 3 4 4 5 5 5 5 5 4 4 5 4 4 5 5 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 2 3 3 4 4 5 4 4 4 4 5 5 5 6 12 21 30 29 21 16 12 7 6 5 6 9 7 2 -2 -5 -4 -1 -1 -1 2 6 7 6 6 6 5 5 5 4 4 3 4 4 5 6 9 9 12 13 11 9 8 8 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 5 6 6 5 5 5 5 5 5 5 5 4 4 5 6 6 7 9 9 2 3 7 7 6 5 5 7 7 8 9 9 9 10 9 7 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 5 5 5 5 6 7 6 8 13 14 12 11 9 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 5 6 6 6 7 7 6 6 6 6 6 7 7 7 6 4 4 4 6 6 7 7 6 6 5 4 3 4 5 5 4 4 4 4 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 3 2 2 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 2 3 4 3 4 4 3 3 3 3 3 3 3 4 3 3 4 4 4 4 5 4 4 4 4 4 5 5 6 7 7 6 6 8 9 8 7 7 12 20 22 16 10 6 4 5 6 7 8 9 9 9 10 9 8 6 5 4 4 4 4 4 5 7 8 9 9 8 8 9 10 10 10 11 5 1 6 9 2 -0 2 3 5 12 16 10 2 1 6 5 2 2 6 11 9 7 11 14 10 10 18 19 13 8 7 7 7 5 3 2 -3 -5 1 6 5 5 8 12 9 7 8 9 10 12 10 5 4 5 5 5 5 6 8 8 7 7 7 6 6 6 7 8 9 7 6 5 4 4 5 5 4 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 4 3 3 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 3 3 4 4 4 4 4 4 4 3 2 2 3 3 4 4 4 4 4 4 4 5 4 4 5 7 10 16 25 29 26 24 18 12 7 6 6 3 -2 -4 -7 -9 -6 -6 -7 -5 1 4 5 6 5 4 4 4 4 5 7 7 8 9 12 15 13 7 6 6 6 7 6 5 5 4 4 4 3 4 4 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 4 5 5 6 5 5 4 4 4 5 6 8 13 7 2 7 7 6 5 5 6 8 10 10 10 10 10 9 7 7 6 6 6 6 7 7 8 7 7 7 7 7 7 7 6 6 5 5 5 5 5 7 9 8 10 10 8 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 4 4 4 5 5 5 5 6 6 6 6 6 6 6 7 6 5 4 5 6 7 7 7 8 7 7 5 4 4 5 5 5 4 4 4 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 4 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 4 4 3 3 3 3 3 3 3 4 3 3 4 3 3 3 3 3 3 3 3 3 3 2 2 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 4 4 4 4 5 5 6 7 8 7 7 9 9 8 7 14 30 43 41 26 12 5 3 3 5 6 7 7 8 9 10 11 10 8 6 4 4 4 4 4 5 7 8 8 9 9 10 11 11 10 9 9 4 -2 -1 3 3 4 5 8 8 12 14 8 5 4 8 10 5 2 3 7 8 9 14 14 8 12 16 13 8 6 5 4 2 -1 -2 -2 -1 5 10 9 4 2 4 7 7 5 4 6 8 8 6 4 4 4 3 3 2 2 4 8 8 7 6 5 5 6 7 8 8 7 6 5 4 4 5 4 4 3 3 4 4 4 4 4 4 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 3 3 3 3 4 4 4 4 4 4 4 5 5 5 6 8 13 19 21 26 27 23 17 15 12 9 9 9 5 -0 0 2 1 2 4 5 4 5 6 5 4 5 7 10 15 15 15 18 18 15 9 4 3 5 6 6 6 5 5 5 4 4 4 4 4 4 4 5 5 5 6 6 5 5 5 4 4 4 4 5 5 5 5 5 5 6 6 6 5 4 4 4 5 6 8 10 7 7 7 6 5 6 7 8 10 11 11 10 9 8 7 7 6 6 6 6 7 7 7 8 8 7 7 8 8 8 7 7 6 6 5 5 5 5 6 6 5 6 6 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 3 4 4 4 4 4 5 5 5 5 4 4 4 5 5 4 4 4 4 5 7 7 8 8 9 8 7 6 5 5 5 5 5 5 4 4 3 3 3 2 3 3 3 4 4 3 4 4 3 3 3 4 5 5 5 5 5 5 5 5 4 4 3 3 2 3 3 3 3 4 3 3 3 3 3 3 4 4 4 3 3 3 3 4 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 4 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 5 5 6 7 7 8 8 9 10 8 9 23 39 47 42 25 11 4 0 1 4 6 5 6 7 8 9 10 10 10 8 6 4 4 4 4 5 6 7 8 9 11 12 12 10 7 6 7 10 3 -3 1 6 6 6 7 7 10 12 9 6 3 5 10 9 6 3 4 7 10 12 10 4 7 10 8 7 5 4 1 -3 -6 -4 -1 4 9 11 7 -1 -3 -1 1 3 0 -3 1 4 5 5 3 2 0 -1 -0 -2 0 5 11 10 7 6 5 4 5 7 8 7 7 5 5 4 4 5 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 5 4 4 4 4 4 4 5 5 5 5 5 8 14 20 24 24 23 23 23 24 26 21 12 8 9 7 8 12 16 14 10 14 14 11 13 13 13 18 20 17 14 12 7 4 3 3 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 6 5 5 5 4 4 4 5 6 5 5 5 5 5 6 6 6 5 4 4 5 5 6 6 7 8 7 6 5 5 6 7 10 11 12 11 10 8 7 6 7 6 5 6 6 6 7 7 8 8 8 8 9 9 10 9 8 6 6 6 5 4 4 6 5 4 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 3 3 3 2 3 3 4 4 4 4 4 3 3 3 3 2 2 2 2 3 4 5 6 8 8 9 9 9 8 6 5 5 5 5 5 5 5 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 6 7 8 6 5 5 5 5 5 4 3 2 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 2 3 3 3 3 3 3 3 4 4 4 4 4 3 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 5 6 6 7 8 8 9 10 10 8 12 22 26 28 24 14 8 2 -3 0 4 5 4 6 6 7 8 9 10 11 10 8 5 4 3 4 5 6 7 9 12 14 12 11 10 6 3 5 12 8 0 6 13 8 5 4 0 -0 1 6 9 5 2 4 10 11 7 6 10 10 8 7 5 4 5 6 5 2 1 -2 -2 -1 3 6 5 3 3 1 -6 -5 -1 0 -0 -2 -0 4 6 6 5 1 -4 -5 -2 -1 1 4 11 15 11 6 6 5 4 5 6 8 8 7 5 4 4 4 5 5 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 5 5 4 4 4 3 5 6 6 5 4 3 5 8 13 17 17 19 20 19 24 30 26 19 19 17 18 20 23 24 23 23 23 22 20 17 12 11 12 10 5 3 3 3 3 4 4 4 3 3 3 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 5 5 5 4 4 4 4 5 5 5 5 4 4 5 6 6 5 5 5 5 5 5 6 6 7 7 7 6 5 6 7 9 11 11 11 10 9 8 8 6 6 5 4 5 5 7 8 8 8 8 9 10 11 12 12 10 7 7 7 7 5 5 6 5 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 1 1 1 1 1 1 2 4 6 8 8 9 9 9 7 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 4 5 5 5 7 9 10 8 6 5 5 5 6 5 3 3 2 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 4 4 3 4 4 3 3 3 3 3 3 3 3 3 2 3 3 2 3 3 3 4 4 5 4 4 4 4 4 3 4 4 3 3 3 4 4 4 4 4 4 4 5 5 6 7 8 9 10 11 10 10 12 15 16 15 10 5 4 -2 -5 0 3 4 4 5 5 5 7 8 10 11 11 9 6 4 3 3 4 5 8 12 15 15 11 10 10 8 2 1 8 8 1 6 12 10 10 7 -1 -4 -2 4 8 8 5 4 9 13 13 12 11 7 4 7 9 7 5 6 4 2 0 -1 1 6 10 10 2 -1 1 0 -3 -2 1 4 3 3 4 6 12 9 4 -1 -6 -5 -1 3 6 7 14 18 9 5 6 5 5 5 6 7 8 7 5 4 4 5 5 5 4 4 4 4 4 4 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 5 5 5 5 4 5 4 4 5 5 4 4 4 5 4 4 4 4 4 4 4 5 4 4 5 5 4 4 4 4 3 3 3 3 4 4 4 4 3 3 4 6 7 6 4 3 3 5 6 7 7 7 7 7 11 18 25 25 24 24 23 19 16 18 19 16 17 16 14 13 8 5 5 5 4 3 3 3 4 5 5 5 4 2 1 2 3 3 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 3 4 4 4 5 4 4 4 5 5 5 5 5 5 5 5 5 5 6 7 7 6 5 5 5 6 8 9 10 11 10 10 10 9 8 6 5 5 4 5 6 8 8 8 9 12 15 16 16 14 11 8 8 9 10 9 8 6 6 5 5 5 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 4 4 4 5 4 3 3 3 3 3 3 2 2 2 2 1 1 1 0 1 0 0 1 4 6 7 9 9 9 7 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 10 11 8 5 5 6 7 6 5 4 3 3 3 3 2 2 2 2 2 2 2 2 3 3 2 2 3 3 3 3 3 3 4 4 4 3 3 3 3 4 4 3 3 3 2 3 3 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 3 4 5 6 6 7 9 10 12 12 12 11 12 13 13 9 4 2 -1 -5 -4 1 3 3 3 4 5 5 6 7 8 10 11 10 7 4 3 3 3 6 12 16 15 12 9 8 9 8 1 2 13 11 2 -1 -0 8 15 13 5 0 -0 2 7 9 9 8 10 13 15 15 9 1 0 5 9 9 7 5 3 2 -1 1 5 7 8 7 -3 -2 3 3 2 -2 2 7 8 8 7 9 14 9 2 -2 -4 -3 2 8 11 9 13 15 6 5 5 5 5 5 5 7 8 7 6 5 5 5 6 5 4 4 4 4 4 4 4 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 4 4 4 3 2 3 4 5 5 4 2 3 5 7 7 5 3 4 4 5 7 11 14 15 16 13 10 8 8 7 7 8 5 5 6 5 4 4 3 3 3 2 2 3 5 8 9 8 4 1 0 1 2 3 3 4 3 3 3 3 3 3 3 2 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 7 7 6 6 5 5 5 6 7 8 9 9 10 10 9 8 6 5 5 5 5 6 6 7 8 10 15 22 25 21 16 11 8 8 13 18 17 13 9 7 6 5 5 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 4 4 5 6 6 5 5 4 3 3 3 4 3 3 3 3 3 2 2 2 1 1 1 2 4 6 7 9 9 7 5 4 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 7 9 9 7 6 6 6 7 7 6 6 4 3 3 2 2 2 2 2 2 1 2 1 2 2 2 2 2 3 3 4 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 5 6 8 9 10 12 16 18 15 11 8 7 5 2 1 -2 -5 -1 2 3 3 3 3 4 5 5 6 7 9 11 11 8 6 4 3 4 9 15 16 13 10 7 3 8 12 1 -1 10 13 4 -3 -4 3 13 15 9 4 2 2 3 5 7 9 11 11 11 10 5 0 2 6 7 6 6 5 4 3 0 5 7 1 -0 3 -4 -1 4 3 1 -3 1 5 4 7 10 14 16 11 4 -1 -4 -1 8 14 13 9 11 14 8 4 5 5 4 4 5 6 8 7 7 6 6 6 6 5 5 5 4 4 3 3 3 3 3 3 4 4 3 3 3 2 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 3 3 3 3 3 4 4 3 2 2 3 5 5 5 3 2 3 7 9 7 4 4 4 5 5 5 5 6 7 5 5 5 6 6 6 5 5 4 4 4 3 3 2 2 2 1 2 3 6 10 13 14 11 6 2 0 1 2 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 4 4 3 3 3 3 3 4 4 3 4 4 5 5 5 5 5 5 6 7 7 7 6 5 5 5 5 5 5 6 7 8 9 9 8 7 6 6 5 5 5 6 7 8 11 18 26 31 26 18 11 7 8 17 25 25 16 9 6 5 5 5 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 5 7 7 8 7 5 4 3 4 5 6 6 6 5 5 5 5 5 4 3 2 3 3 4 6 7 8 8 5 3 3 2 2 3 4 4 4 5 5 5 5 5 4 4 4 4 5 6 6 6 6 6 7 8 8 7 6 6 6 7 7 7 6 5 5 4 3 2 2 2 2 2 2 2 2 1 2 2 2 2 3 3 4 3 3 3 3 3 3 3 3 3 4 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 7 10 11 14 21 24 18 7 -3 -2 4 3 2 1 -1 1 3 3 3 3 3 4 4 5 5 6 8 9 11 10 7 5 3 5 9 12 12 11 12 8 -1 1 10 7 -1 3 9 3 -1 -0 -1 8 14 9 5 4 5 2 1 2 7 11 9 6 4 3 3 9 12 8 3 4 7 6 4 6 10 6 -6 -6 5 3 0 5 2 -0 -2 -1 -2 1 8 9 13 19 17 6 -2 -2 5 13 16 11 7 11 15 10 4 5 5 4 4 4 6 7 8 8 7 7 6 6 6 5 5 4 4 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 5 4 4 4 5 4 4 5 5 4 4 3 3 3 3 4 3 2 2 2 4 6 6 4 2 3 6 9 9 6 4 4 4 4 4 4 4 4 4 4 4 5 6 6 5 4 4 3 3 2 2 2 2 2 2 2 4 7 12 15 16 14 11 7 4 2 3 3 3 2 1 2 3 4 4 3 3 2 2 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 5 5 5 5 6 6 6 6 7 6 6 5 5 4 4 5 5 5 6 7 8 8 7 7 6 6 5 5 6 6 9 12 17 24 28 25 16 9 7 7 14 22 22 14 8 5 3 4 6 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 2 3 4 6 8 9 9 7 5 4 5 6 6 7 7 7 7 7 7 8 8 7 6 4 4 4 4 5 6 7 6 4 3 3 3 3 3 3 3 4 4 4 4 4 5 4 3 3 3 4 5 5 5 5 6 7 7 7 6 6 6 6 6 6 6 6 5 4 4 4 3 2 2 2 2 2 1 1 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 7 9 11 14 20 27 27 18 3 -9 -5 4 5 3 2 2 2 3 3 3 3 3 4 5 5 6 6 7 10 11 11 8 6 4 5 6 6 7 9 13 13 4 -6 -3 3 2 3 4 2 1 2 -1 2 10 10 4 2 4 3 1 1 5 9 9 6 4 2 4 11 17 12 3 3 9 10 10 12 10 1 -9 -5 13 14 2 2 2 -1 1 -0 -4 4 12 10 15 24 20 7 -2 1 9 15 14 7 6 11 17 11 5 5 5 4 4 4 5 6 7 8 7 7 6 6 6 5 5 5 4 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 4 4 4 5 5 5 5 4 3 4 4 4 3 3 3 2 3 4 7 7 5 4 4 5 9 10 8 5 4 4 4 4 4 4 4 4 3 4 4 4 4 3 3 3 3 2 2 2 2 2 3 3 2 4 8 14 16 14 12 11 9 7 6 4 4 4 2 -3 -5 2 5 5 4 3 2 3 4 4 5 5 5 5 5 5 5 5 4 4 3 4 3 4 4 5 5 5 5 6 6 6 6 7 7 6 5 5 5 4 5 5 4 4 5 6 7 7 7 6 6 5 6 6 7 9 11 15 18 19 18 12 9 8 8 9 11 10 9 6 6 7 7 7 7 5 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 2 2 3 4 7 9 10 9 7 5 5 4 5 6 6 7 7 7 8 8 10 10 9 7 5 4 4 3 4 5 5 5 4 3 3 3 3 3 3 2 3 4 5 5 5 4 3 2 2 2 3 4 4 4 5 6 6 6 6 5 5 5 6 6 5 6 5 5 4 5 4 4 3 2 2 2 1 1 1 2 2 2 2 3 3 4 3 3 2 3 2 3 3 3 3 4 4 4 4 3 3 3 3 4 3 3 3 3 2 3 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 6 6 7 9 12 16 23 28 29 25 16 3 -1 6 6 4 2 1 2 2 3 3 4 3 3 4 4 5 6 7 8 9 10 9 8 7 6 5 4 4 4 5 8 12 10 3 -2 -3 -2 -1 0 2 3 4 1 -0 4 9 7 3 -2 1 2 4 6 7 8 7 5 2 2 7 14 12 5 3 8 18 21 15 5 -3 -4 6 20 17 0 -1 1 0 5 3 2 9 9 11 24 29 18 5 1 6 12 13 9 5 5 10 17 13 5 5 5 4 3 4 5 6 7 7 7 7 6 6 6 6 6 5 4 4 3 3 3 4 4 4 4 3 3 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 3 3 4 4 4 4 3 3 4 4 4 4 5 4 4 4 5 5 5 5 4 4 4 4 4 4 3 3 3 3 4 6 8 7 5 4 5 8 10 9 7 5 4 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 2 3 5 10 16 18 13 7 6 8 8 8 6 5 5 6 1 -8 -4 4 5 4 3 3 5 6 6 5 5 5 5 6 5 5 5 4 4 4 4 4 3 2 3 4 5 5 6 6 6 7 7 7 6 5 5 5 5 4 4 5 5 4 5 6 7 7 6 6 6 6 7 8 9 11 13 13 14 13 9 10 10 8 5 4 4 6 7 7 9 9 8 7 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 3 2 3 5 7 9 9 8 6 4 4 3 4 4 5 5 6 6 6 8 9 9 9 7 6 4 3 3 3 3 4 3 3 3 4 4 3 3 3 2 4 5 6 6 6 5 4 3 2 2 3 4 4 4 4 5 6 5 6 5 5 5 6 5 5 5 5 5 5 5 5 4 3 3 2 2 1 1 2 2 2 2 2 3 3 3 3 3 3 3 2 2 3 3 4 4 4 4 3 3 3 4 4 4 4 3 3 3 3 2 3 3 3 3 4 4 4 4 3 4 4 4 4 5 5 7 9 11 14 18 23 28 29 24 19 16 13 11 11 7 2 1 1 2 3 3 3 3 3 3 4 4 5 6 7 8 9 9 8 9 11 10 7 5 4 5 5 5 5 7 9 8 2 -3 -2 1 4 5 5 3 2 1 5 8 5 -1 -1 3 7 6 4 4 4 5 5 3 4 5 4 2 3 8 21 27 16 2 -1 5 13 19 10 -1 2 4 3 9 5 6 13 12 18 31 27 12 4 5 10 13 11 6 4 6 11 17 13 6 6 5 4 4 4 5 6 6 7 7 7 6 6 6 6 5 4 4 4 4 4 4 5 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 5 4 4 4 3 4 4 3 3 3 3 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 4 5 4 4 5 5 5 4 4 4 5 5 4 4 4 4 4 4 6 8 7 6 5 5 6 9 9 8 6 5 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 3 4 3 3 3 3 4 10 17 19 13 5 3 5 7 7 7 6 6 10 7 -2 -3 3 5 4 4 5 8 9 8 6 5 5 6 6 6 6 3 4 5 5 5 5 5 1 0 4 5 5 5 6 6 7 7 7 7 6 6 5 5 5 4 5 5 5 4 6 7 7 5 6 6 7 8 8 8 10 13 16 16 13 11 11 10 6 5 4 4 6 7 7 8 9 9 10 8 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 4 4 3 3 4 6 8 8 6 5 3 3 3 4 5 5 4 4 4 5 6 7 8 8 7 5 4 4 3 3 2 2 3 3 4 4 4 3 2 3 4 5 6 8 9 8 7 6 4 3 3 3 4 4 3 4 5 6 6 5 5 5 6 6 6 5 5 5 4 4 5 5 4 3 2 2 2 2 1 1 1 1 2 2 2 3 3 3 2 3 2 2 3 4 4 4 3 3 2 3 3 4 3 4 4 3 3 3 2 3 3 4 3 3 3 4 4 4 3 4 4 4 4 5 7 11 14 17 20 23 24 23 21 18 14 18 24 15 4 4 3 2 2 2 2 2 2 3 3 3 4 4 5 6 7 7 8 9 10 11 13 12 10 8 3 5 9 6 6 8 5 1 1 2 2 4 6 8 8 8 7 3 3 5 5 3 0 2 7 4 0 0 1 3 7 7 5 1 -1 1 4 8 17 24 16 4 2 7 12 12 6 1 6 7 3 7 2 4 12 22 35 33 19 7 6 10 13 11 8 5 5 7 12 17 12 5 6 5 4 4 4 5 5 6 7 6 6 6 6 6 5 5 5 4 4 4 4 5 5 5 5 4 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 3 3 3 3 2 2 3 3 2 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 4 4 4 5 5 6 7 7 6 5 4 5 6 7 7 6 6 4 4 4 4 4 3 3 4 3 3 2 3 3 2 3 3 4 4 4 4 4 4 3 4 7 15 19 14 5 1 3 5 5 5 5 8 11 9 2 1 4 4 4 5 7 10 11 9 6 4 4 5 6 8 10 2 1 5 5 5 7 9 6 1 3 5 5 5 5 6 6 7 7 7 7 6 5 4 4 5 5 5 5 4 5 6 6 5 5 5 7 8 8 8 7 11 19 21 17 15 14 11 7 5 5 5 5 6 6 6 7 9 11 11 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 6 5 3 3 2 4 6 6 6 6 4 3 3 3 4 5 4 3 3 3 4 5 6 6 6 6 5 5 4 3 2 2 2 3 4 4 4 4 2 2 3 5 6 8 9 10 10 10 8 5 3 3 3 3 3 4 4 5 6 6 6 5 6 6 6 6 6 5 4 5 5 5 5 3 3 3 2 2 1 1 1 1 2 2 3 3 3 3 3 3 2 2 3 4 4 4 3 3 2 3 3 3 4 4 3 3 3 3 3 3 4 4 4 4 3 4 4 4 4 4 4 5 5 7 12 17 20 21 21 20 17 15 15 11 10 17 20 10 2 1 3 3 3 3 2 2 2 2 3 3 4 4 5 6 6 7 8 10 12 12 10 12 13 11 2 2 10 8 7 10 7 1 -1 2 3 6 8 8 11 14 12 7 5 6 4 2 3 5 7 6 1 -1 -1 4 9 10 7 2 -1 1 4 6 10 16 14 6 1 4 8 10 8 5 4 4 5 2 -2 2 11 26 37 24 9 7 11 12 10 8 6 5 6 8 12 16 10 5 5 5 4 4 5 5 5 5 6 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 3 3 2 2 3 3 3 3 4 4 4 4 4 5 4 4 4 5 5 4 4 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 5 5 5 4 4 4 5 5 5 6 6 6 5 5 4 4 4 5 6 5 5 5 4 4 4 4 4 3 4 4 4 3 3 3 3 4 4 5 5 5 5 5 4 3 3 5 10 15 12 6 2 3 3 3 2 3 5 12 13 5 2 4 4 4 6 8 11 11 7 5 4 3 3 5 8 13 8 2 4 6 7 7 9 9 5 3 4 5 4 4 6 6 7 7 7 7 7 6 5 4 4 5 5 5 5 5 5 5 5 4 5 6 8 8 8 7 9 15 18 18 16 13 12 9 7 6 6 5 5 4 5 5 7 8 10 9 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 5 4 3 2 2 4 4 5 5 4 3 3 3 4 5 5 4 3 3 4 4 5 5 6 6 6 6 6 4 3 3 3 3 3 4 4 3 2 2 3 4 5 6 8 9 10 12 11 7 4 3 3 3 3 3 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 7 6 5 5 4 3 3 2 2 2 3 3 2 2 2 3 4 3 3 2 3 3 4 4 4 3 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 7 12 16 20 21 17 14 11 11 14 15 10 7 10 9 4 2 1 4 3 3 3 2 2 2 2 3 3 4 5 5 6 7 9 12 16 16 12 7 5 5 7 3 3 8 8 5 5 7 6 3 3 4 9 8 6 11 17 16 12 10 9 6 5 6 7 7 13 9 3 2 8 13 12 7 2 -0 -0 1 4 7 9 9 5 2 4 8 10 10 6 -0 -0 6 -1 -1 6 12 23 23 12 7 8 9 8 6 4 4 6 7 8 13 17 11 5 6 6 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 4 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 4 3 3 2 2 2 3 4 4 4 4 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 6 6 6 5 5 5 5 4 3 3 3 3 3 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 6 5 6 5 4 4 3 4 6 9 9 6 4 4 3 0 -1 -0 -1 3 10 8 4 4 4 5 6 9 9 8 5 4 4 3 3 4 6 10 12 7 5 6 8 7 7 7 6 5 4 4 4 4 5 6 6 7 7 7 7 6 6 5 4 4 5 5 6 5 6 6 5 4 4 5 7 9 9 8 8 10 11 11 11 10 9 8 8 8 7 7 6 5 4 5 5 6 8 7 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 5 5 5 4 3 2 2 2 3 3 3 3 3 3 3 4 5 5 4 3 4 4 5 6 6 6 6 6 6 5 5 5 4 3 3 3 3 3 2 1 2 3 3 4 5 6 7 10 10 8 5 4 4 3 3 3 4 4 4 6 7 7 6 6 6 7 7 7 7 7 8 8 8 8 7 6 5 4 4 5 5 5 5 4 3 4 5 6 5 4 3 3 3 4 4 3 3 3 3 3 3 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 5 4 4 4 4 9 15 17 16 14 9 7 8 11 17 18 9 5 4 3 2 3 4 4 3 3 3 3 3 2 3 3 4 5 5 6 7 9 13 17 19 17 10 4 -1 -1 2 5 8 7 5 4 3 4 4 6 6 8 10 7 4 7 12 14 14 13 14 15 14 9 5 7 17 17 11 9 11 16 14 7 3 2 2 1 3 4 4 4 4 5 7 8 9 5 1 -2 -0 5 -2 4 11 11 16 12 6 4 3 4 3 2 3 5 7 7 9 14 15 9 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 4 4 3 3 3 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 6 5 4 3 3 2 1 2 2 3 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 5 6 6 5 5 5 4 4 4 3 2 1 1 2 2 3 2 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 3 4 6 7 6 5 4 6 4 0 -0 -0 -4 -4 4 6 4 4 5 6 7 6 5 4 4 4 4 4 3 4 6 7 6 5 6 8 8 7 6 6 5 4 4 4 4 4 5 6 6 7 7 7 7 6 6 5 4 5 6 6 6 6 7 6 5 4 4 6 8 10 9 8 8 6 5 6 7 7 6 6 7 8 7 7 7 6 6 6 6 6 6 4 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 5 5 4 3 2 1 1 2 2 2 2 2 3 4 4 5 5 4 4 4 5 7 8 8 6 5 5 6 7 7 7 5 3 3 3 3 2 2 1 1 1 2 3 4 5 7 8 7 6 5 4 4 4 4 4 4 4 5 6 6 6 6 6 7 7 7 7 7 8 8 9 10 9 8 7 7 7 7 8 8 7 7 7 7 7 8 8 6 4 3 3 3 4 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 4 4 4 5 5 4 5 5 4 4 4 6 12 16 14 11 8 6 7 9 13 19 16 6 1 2 2 3 4 4 4 3 3 4 4 3 3 3 4 5 5 6 8 10 12 14 15 15 12 7 2 0 1 3 4 6 5 5 5 3 2 4 4 4 8 8 5 3 3 3 4 7 9 14 22 21 10 3 9 16 18 15 11 11 14 13 8 6 7 5 4 4 6 7 8 7 6 8 9 5 -1 -4 0 6 8 1 7 13 13 14 6 -0 -2 -1 2 1 2 6 8 9 9 8 10 13 9 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 4 4 4 4 3 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 3 3 2 1 1 1 2 2 3 5 5 4 4 4 4 4 4 4 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 5 6 6 6 5 5 4 4 4 3 2 1 1 1 1 1 1 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 5 5 6 5 4 9 12 9 5 4 -1 -6 -1 5 4 5 5 6 5 3 3 4 4 5 4 4 4 4 4 4 4 4 5 7 8 8 7 6 6 5 4 4 4 4 4 5 6 6 6 7 6 6 6 6 5 5 5 6 6 6 7 7 6 4 4 5 7 9 10 8 7 5 5 5 6 6 5 5 6 6 6 7 8 8 8 7 7 7 7 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 6 5 6 5 6 5 3 2 2 2 2 2 2 2 2 3 3 4 5 5 4 3 4 6 9 9 6 4 3 5 7 9 9 7 5 4 3 3 2 2 1 1 1 1 2 3 4 5 5 6 5 5 4 4 4 4 4 3 4 4 5 6 6 6 6 6 6 6 7 6 6 6 7 8 9 10 10 9 9 8 8 8 8 8 9 8 8 9 9 7 5 4 3 3 3 3 3 3 4 4 4 5 5 5 4 4 3 3 3 3 4 4 5 5 5 5 5 5 4 5 7 11 16 16 11 8 7 7 8 9 12 17 11 1 -2 1 3 3 4 4 4 4 4 4 4 4 4 4 4 5 6 7 10 13 12 11 10 9 8 6 3 2 4 7 7 5 4 5 4 1 1 2 3 6 15 8 3 5 4 -0 -1 0 2 8 17 17 9 6 9 9 12 12 9 7 7 8 8 9 9 6 7 8 11 13 15 13 8 9 10 5 0 1 3 7 5 5 11 14 17 10 1 -0 1 3 5 4 7 10 9 9 9 7 8 14 13 6 6 6 5 5 6 5 5 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 5 3 2 1 1 1 1 2 2 3 4 5 4 3 3 3 4 4 4 4 3 4 4 4 4 5 4 4 5 5 5 5 5 5 4 5 4 5 5 5 5 5 6 5 5 5 5 3 3 3 5 6 6 6 5 5 4 4 4 3 2 1 1 0 1 1 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 5 5 4 5 5 4 4 9 17 17 9 5 3 -0 1 4 4 5 5 6 5 3 3 4 5 4 4 4 4 4 4 3 4 4 5 6 8 8 8 7 6 6 5 5 5 5 4 5 5 6 6 7 7 6 6 6 6 5 5 5 5 6 6 7 6 5 5 5 6 9 10 9 8 7 6 6 5 5 5 5 6 5 6 6 7 7 7 7 8 8 8 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 9 8 7 7 7 7 7 6 6 5 4 4 3 4 3 3 3 3 4 5 5 4 4 4 5 8 9 8 5 3 4 7 9 10 9 7 5 4 4 3 3 2 1 1 1 2 2 3 3 4 4 5 5 5 5 5 4 4 4 4 4 4 5 5 5 6 5 5 5 4 4 4 4 4 5 7 8 9 9 8 7 7 7 7 8 8 7 7 8 8 8 7 5 3 3 3 3 2 3 4 4 5 5 5 5 4 4 3 3 3 3 4 4 4 5 5 5 5 5 5 7 11 14 13 10 8 7 7 7 7 8 11 13 6 -2 -3 1 3 4 4 4 4 4 4 5 5 5 5 5 5 5 6 8 11 12 10 8 8 8 8 7 5 4 3 5 10 14 10 3 -0 -0 3 4 8 11 16 8 5 7 6 2 2 5 5 7 13 16 13 11 7 4 5 5 5 5 3 3 6 8 6 5 6 9 11 13 16 16 11 8 8 6 6 5 3 1 -2 8 15 18 17 4 -1 8 11 11 11 12 14 13 10 8 7 6 9 16 14 7 5 5 6 6 5 5 4 5 4 5 5 4 4 4 5 5 5 5 6 6 6 6 6 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 3 4 4 4 4 5 5 4 5 4 5 5 3 2 1 1 1 2 2 3 5 6 6 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 6 5 5 4 3 3 3 4 5 6 5 5 4 4 4 3 2 1 1 1 1 1 2 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 5 6 6 6 6 5 5 5 4 4 7 13 19 11 3 4 2 2 4 4 4 5 6 5 4 5 5 5 4 4 4 4 4 4 4 4 4 4 6 7 7 7 7 6 5 5 6 6 5 5 4 5 5 6 6 7 6 6 6 6 6 6 5 5 5 6 7 6 6 5 5 6 8 9 10 9 8 7 6 6 5 5 6 6 6 6 6 6 7 6 7 8 8 9 9 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 10 10 10 9 9 8 9 9 9 9 8 7 7 7 7 6 4 4 4 4 5 5 5 4 4 7 9 8 5 3 3 5 7 9 9 8 7 5 5 5 4 3 2 2 2 2 2 3 3 3 4 4 4 5 5 5 5 4 4 4 3 4 4 4 5 5 5 5 4 3 3 3 3 2 3 4 5 6 7 6 6 6 6 6 6 5 4 5 5 6 7 7 6 5 4 3 3 3 3 4 4 5 6 5 5 5 4 3 3 3 3 3 3 4 4 4 4 5 5 5 7 10 11 8 6 6 7 7 6 7 8 10 11 6 -3 -3 2 4 3 3 4 4 4 5 5 5 5 4 5 5 6 7 9 12 12 10 9 8 9 12 9 7 7 3 1 5 11 12 7 2 0 3 5 7 13 8 3 7 9 7 5 11 13 10 11 16 19 17 11 6 3 1 2 4 5 3 2 4 3 4 6 7 9 13 16 17 15 11 7 4 4 5 6 5 -2 -2 12 19 22 14 1 2 13 17 18 19 18 17 13 11 9 6 6 9 15 13 6 4 5 5 6 5 5 4 5 4 4 4 4 4 4 4 5 5 6 6 6 6 5 5 5 5 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 4 3 1 1 2 3 3 5 7 9 10 8 3 2 3 4 4 4 4 4 4 4 4 4 4 5 5 4 5 4 4 5 5 4 4 5 5 4 4 4 5 5 5 5 6 5 5 4 3 3 3 4 5 5 5 4 4 4 3 3 2 1 0 0 1 1 3 4 5 6 5 5 4 3 3 3 2 1 -0 -1 0 0 2 4 4 4 4 5 5 6 6 6 7 6 6 5 5 4 5 10 17 11 0 1 4 3 4 4 4 5 6 6 5 5 5 5 4 4 4 4 5 5 5 4 3 4 6 6 6 6 6 6 5 5 5 6 6 6 5 4 4 5 6 6 7 6 6 6 6 7 6 5 4 5 6 7 6 5 6 6 7 8 9 10 10 8 7 7 6 6 6 6 7 7 7 7 7 7 6 6 7 8 8 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 9 11 10 9 9 9 10 11 13 13 11 11 10 9 8 7 6 5 4 5 5 5 5 5 6 8 8 6 4 3 3 5 6 8 8 7 5 5 5 5 4 4 3 3 3 3 3 3 2 3 3 4 4 5 5 5 4 4 4 4 4 4 3 3 4 4 4 3 3 3 3 3 3 2 3 3 4 4 5 5 5 6 5 4 3 3 3 4 5 6 7 8 7 6 4 4 4 5 6 6 6 6 5 5 4 3 3 3 3 3 4 3 4 4 4 4 5 5 4 5 9 10 7 6 7 7 7 7 8 8 10 10 5 -2 -1 2 4 4 4 4 4 5 5 5 4 4 4 6 7 9 11 15 16 13 10 10 8 8 11 8 9 11 8 2 0 1 5 5 4 2 3 2 5 10 2 2 8 9 7 9 18 15 10 11 15 15 12 8 5 5 4 4 6 7 5 3 2 2 5 7 8 10 13 15 12 10 10 10 5 1 2 3 2 -0 3 14 26 24 10 0 5 12 17 21 21 17 12 10 9 9 7 6 7 12 14 8 4 6 6 6 5 4 3 4 4 4 4 4 4 4 4 5 6 7 7 6 6 5 5 5 4 5 5 5 5 5 5 5 5 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 4 4 2 2 3 4 3 4 6 9 12 13 9 5 3 3 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 4 4 4 4 5 5 5 5 6 6 5 4 3 2 2 3 4 4 4 5 4 4 3 2 1 1 1 1 1 1 3 5 7 7 6 4 1 1 1 2 1 -2 -7 -10 -9 -8 -6 -0 3 5 5 5 5 5 6 6 7 7 7 6 6 5 5 9 15 12 2 -0 3 4 4 4 5 5 6 6 5 4 4 5 4 5 5 5 5 5 5 4 4 4 5 6 5 5 5 5 5 4 4 4 5 6 5 3 3 4 4 5 6 6 6 6 7 7 6 5 5 5 5 6 6 6 6 5 5 7 8 9 9 9 8 8 7 7 7 6 7 7 8 8 7 7 7 6 6 6 7 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 8 9 9 9 8 8 11 13 15 14 11 11 10 10 11 10 9 8 6 6 5 6 6 6 7 8 8 6 5 4 4 4 5 6 7 6 6 6 5 5 5 5 6 5 4 3 3 3 2 3 3 4 4 4 4 5 5 5 4 4 4 4 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 4 4 5 5 7 8 8 8 7 6 6 7 7 7 6 6 5 4 4 3 3 3 4 4 3 3 4 4 4 4 5 5 4 5 8 10 8 7 7 7 7 8 10 9 9 9 4 1 2 3 4 4 5 5 5 6 6 5 4 5 7 9 11 14 16 20 19 13 7 7 5 6 7 4 5 9 8 6 3 1 1 1 2 5 7 6 7 3 -0 3 3 4 6 11 13 5 3 8 9 6 5 4 6 9 8 6 6 8 7 6 4 7 8 8 12 11 10 10 7 5 8 9 7 3 1 1 -1 -0 4 15 27 18 5 3 9 12 14 17 16 10 7 7 8 8 7 5 8 15 17 9 4 5 6 6 5 5 4 3 4 4 4 4 4 4 4 5 6 6 6 6 5 5 5 5 5 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 3 3 3 3 4 4 5 7 9 12 13 9 6 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 6 6 6 6 5 4 2 2 3 3 3 4 4 4 4 3 2 1 1 1 1 1 2 2 3 5 7 8 7 3 -1 -4 -4 -1 2 1 -5 -11 -13 -13 -14 -11 -3 3 5 4 5 5 5 6 6 7 7 8 7 6 5 7 11 12 5 3 4 4 4 4 5 6 6 5 5 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 4 5 4 4 4 5 6 5 4 3 3 4 4 5 6 6 6 7 6 6 6 7 5 5 5 6 6 5 4 5 5 6 7 8 9 9 9 8 7 7 7 7 8 8 8 9 8 8 8 7 6 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 8 8 8 8 7 8 11 13 13 11 8 7 7 9 11 12 11 10 9 8 8 7 7 8 9 9 8 6 5 4 4 5 5 5 5 5 5 5 6 6 6 6 6 7 6 5 4 3 2 2 3 3 4 4 4 5 6 6 5 4 4 4 3 3 4 4 4 4 4 4 4 3 3 4 4 3 3 3 3 3 3 3 3 3 4 4 4 5 5 6 6 7 8 9 9 8 8 8 8 6 6 5 4 4 3 3 3 3 3 4 4 4 4 4 4 5 5 4 5 5 7 11 12 7 7 7 8 9 10 9 10 7 4 3 3 4 5 6 6 6 6 6 6 4 5 8 11 13 15 17 17 16 14 9 5 3 3 5 7 6 5 7 10 12 6 3 1 0 2 5 6 6 5 3 3 3 -0 0 4 6 1 -2 -1 5 6 6 5 5 7 10 8 7 6 5 5 6 8 10 8 10 15 14 10 10 11 11 9 4 5 6 5 2 3 7 10 16 21 11 5 8 13 13 12 13 11 8 6 6 7 7 5 5 9 14 9 2 3 5 5 6 6 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 4 5 4 5 5 5 5 5 5 4 3 3 3 3 3 4 5 7 9 11 10 9 6 4 4 4 4 5 5 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 5 4 5 4 5 5 5 6 6 6 6 5 4 3 2 2 2 3 3 4 4 4 4 3 2 2 2 2 1 2 3 4 5 6 8 7 4 -3 -11 -16 -12 -4 3 4 -1 -3 -4 -10 -12 -6 2 4 4 4 5 5 5 5 7 8 8 8 6 6 6 8 8 6 5 5 5 5 5 5 6 5 5 5 4 4 4 5 5 5 5 6 6 6 5 4 5 5 6 6 5 5 5 5 5 5 5 6 6 6 5 4 4 4 3 3 4 5 6 6 6 7 7 7 6 5 6 6 5 5 4 4 4 5 5 6 7 8 8 8 7 6 7 8 8 9 9 9 9 9 9 8 7 6 5 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 9 9 9 9 8 8 9 10 12 12 9 7 6 6 8 10 12 12 12 12 12 12 11 9 10 11 11 9 6 4 5 5 6 6 6 5 4 4 4 5 5 5 5 6 8 8 7 5 4 3 3 3 3 3 4 4 4 5 6 7 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 2 2 3 3 3 4 4 4 5 6 5 5 7 9 10 10 9 8 8 7 6 5 4 3 3 3 3 3 4 4 4 5 4 4 4 4 5 5 4 5 5 8 14 12 7 7 9 10 11 9 11 11 7 4 4 4 4 5 6 7 6 7 6 4 5 8 12 13 14 15 14 12 10 10 8 6 3 1 3 7 10 6 5 10 14 9 3 1 1 3 4 4 4 4 5 7 7 5 2 1 -0 -4 -1 3 8 7 7 8 10 9 7 5 5 5 4 4 6 9 10 10 12 14 11 7 10 16 19 10 3 9 16 14 8 7 10 14 17 15 9 9 14 16 14 12 12 10 7 6 7 7 6 5 5 7 7 1 -1 4 7 6 6 6 5 4 4 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 4 3 3 3 3 3 3 5 7 8 9 8 7 5 4 4 4 5 5 5 4 4 5 5 4 5 5 5 4 5 5 4 5 5 5 5 4 5 5 5 5 5 5 6 6 7 6 5 4 3 2 2 2 2 3 3 4 4 4 3 3 2 3 2 2 3 3 4 4 5 6 7 5 -4 -20 -34 -34 -19 -2 5 6 5 4 -1 -6 -5 2 4 4 4 4 4 4 5 6 7 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 4 4 5 5 5 5 5 5 6 6 6 5 5 5 6 6 5 5 5 5 6 6 6 7 7 6 7 6 5 4 3 3 3 4 5 5 6 7 7 7 7 6 6 5 5 5 4 4 4 4 4 5 5 6 6 7 6 6 6 7 7 8 9 9 9 9 9 9 9 8 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 9 9 9 9 9 10 10 10 10 11 10 9 8 8 9 11 11 12 13 14 15 15 14 13 13 13 13 11 7 4 4 4 5 6 6 5 4 4 4 4 4 4 5 6 8 9 9 7 5 4 3 3 4 4 4 3 4 5 7 7 6 5 4 4 3 4 4 4 4 4 5 6 5 5 5 5 5 5 4 3 3 3 2 3 4 4 4 4 5 5 5 6 7 9 10 9 8 6 5 5 4 3 3 3 3 3 4 4 4 5 5 5 5 5 4 4 4 5 5 5 6 8 13 10 6 8 11 13 14 13 13 10 5 3 4 4 5 5 6 6 6 6 5 5 9 14 12 10 11 11 9 7 7 9 11 11 7 4 4 7 10 4 -0 5 8 8 5 2 3 3 4 5 4 1 4 9 9 8 4 -0 -1 -1 1 7 14 13 7 6 9 9 6 5 4 4 4 6 7 7 8 10 12 10 4 1 3 12 20 12 9 20 29 23 14 12 11 13 14 12 10 13 17 17 14 11 9 7 6 7 8 7 6 4 4 5 5 3 4 7 12 10 5 5 5 5 4 4 3 3 4 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 5 5 5 4 3 3 3 2 2 3 5 7 7 7 7 6 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 6 4 3 2 2 2 2 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 5 5 0 -16 -34 -37 -20 -2 5 6 6 6 4 -5 -11 -4 4 4 4 4 3 4 5 6 7 8 8 8 7 6 6 6 6 6 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 6 5 5 6 6 7 7 8 8 8 8 8 7 6 5 4 4 4 4 4 4 5 6 6 7 7 7 6 5 6 6 5 4 4 4 4 4 4 4 5 6 6 6 5 6 6 6 7 7 8 8 9 9 10 11 10 10 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 7 8 8 8 9 10 9 9 10 11 11 10 9 9 10 10 11 13 14 14 14 14 14 15 16 16 14 10 6 3 3 4 4 5 5 4 4 4 4 4 4 4 5 7 9 9 8 7 5 4 4 4 4 4 4 4 5 6 7 6 6 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 5 5 4 4 3 3 4 5 4 5 5 5 5 6 8 9 8 6 5 4 3 3 2 2 2 2 3 3 3 3 4 5 5 5 5 5 4 5 5 4 4 5 6 9 12 9 7 9 13 15 17 18 14 5 3 3 4 5 5 5 6 6 7 6 5 8 13 15 11 9 9 8 7 6 8 11 13 12 9 8 7 8 7 2 1 4 4 5 5 5 6 5 5 8 4 -0 4 7 7 6 2 0 2 4 5 10 18 21 11 5 6 8 8 6 6 5 5 6 5 4 6 9 10 5 -2 -3 -2 3 12 15 18 27 28 20 14 14 16 15 12 10 10 13 16 15 12 9 7 6 6 7 7 6 5 2 3 5 4 4 6 9 15 12 5 5 5 5 5 4 4 3 4 4 4 4 3 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 5 5 4 3 3 3 2 2 4 5 6 7 7 7 7 7 6 7 6 6 6 5 4 4 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 4 3 2 2 2 2 3 3 4 5 5 5 4 4 3 3 3 3 2 3 3 4 4 4 5 3 -3 -11 -12 -3 6 8 6 6 6 6 -0 -11 -13 -2 4 5 5 5 5 5 5 7 7 8 8 7 7 6 6 6 7 8 8 7 7 6 6 6 6 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 6 5 5 5 6 7 7 8 9 10 10 9 8 7 6 6 5 4 4 4 4 4 5 5 7 7 7 6 6 6 6 6 5 5 4 4 4 4 4 4 5 5 5 5 5 5 6 5 5 6 7 8 9 10 11 12 12 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 5 5 6 6 7 8 8 9 9 10 10 9 8 8 8 9 9 10 10 11 11 12 12 13 16 18 18 14 10 6 5 4 4 4 5 5 5 5 5 5 5 5 5 6 8 7 6 6 5 5 5 5 6 5 5 4 5 6 7 7 6 4 4 4 4 4 4 4 5 5 5 6 6 6 7 7 7 7 6 5 5 5 4 4 5 5 5 5 5 5 7 8 7 5 4 2 2 2 2 2 1 2 2 2 2 3 4 5 5 6 6 5 6 6 5 5 5 5 5 5 8 13 10 8 10 13 14 16 16 7 1 3 4 4 5 5 5 5 6 6 6 6 10 13 12 9 8 8 8 8 8 11 13 14 12 9 7 6 7 7 3 4 5 5 3 5 6 8 8 8 11 9 4 5 4 2 3 3 3 4 5 9 15 19 16 12 8 5 7 8 7 7 6 6 4 2 2 4 7 7 2 -5 -5 -2 -3 6 13 20 26 20 12 9 12 16 15 10 7 9 12 15 14 10 7 8 8 7 7 7 6 3 1 4 6 4 5 7 10 14 13 7 5 5 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 4 4 4 4 4 5 5 5 5 5 5 4 4 5 5 5 6 5 5 4 3 3 3 2 3 4 5 6 6 7 7 8 8 8 7 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 5 5 5 5 4 5 5 5 5 5 6 6 6 6 5 3 1 2 2 2 3 3 4 5 5 6 5 4 3 3 3 2 2 2 3 4 4 4 4 4 5 6 7 9 11 9 7 6 7 7 4 -4 -10 -3 4 6 6 7 7 6 5 6 6 7 7 7 6 6 7 7 8 8 8 8 8 5 5 6 6 6 5 5 5 5 5 5 6 6 7 7 7 7 8 8 7 6 5 5 5 6 6 7 8 10 11 12 10 9 8 7 6 6 5 4 4 4 3 5 5 6 6 7 6 6 6 6 6 6 6 5 5 5 4 4 4 5 5 5 6 6 6 5 5 5 5 6 6 8 9 11 12 13 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 5 4 4 5 5 6 7 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 11 14 17 19 18 16 12 10 7 6 5 4 5 6 6 6 6 7 6 6 7 6 6 5 5 6 6 6 6 7 6 6 5 5 5 6 6 5 4 4 4 4 4 4 4 4 4 5 6 6 6 6 7 7 7 6 6 6 6 5 4 5 5 6 5 5 6 8 8 6 3 2 1 1 2 2 1 1 1 2 2 3 4 5 5 6 6 6 6 7 6 6 6 5 5 5 7 13 16 12 9 10 11 12 12 9 1 1 4 5 5 5 5 5 5 5 6 6 7 10 11 9 7 6 6 9 11 11 13 15 15 14 10 6 5 7 8 4 4 6 6 5 4 6 7 9 12 12 9 9 7 4 1 1 3 5 5 7 14 19 15 8 7 8 6 6 6 5 5 5 4 3 2 2 3 5 6 3 0 1 1 -1 3 9 16 20 13 9 8 9 10 9 4 2 6 11 15 13 9 7 9 9 7 7 7 5 2 2 6 6 4 5 7 10 15 15 8 5 5 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 6 5 6 5 6 5 4 2 2 2 3 3 4 5 6 6 6 7 8 8 8 7 7 6 6 6 6 6 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 5 6 6 6 5 3 2 2 2 2 3 4 4 5 6 6 5 4 4 3 3 2 2 3 3 3 5 5 4 6 8 10 11 11 11 8 7 6 7 7 7 0 -7 -2 4 6 7 8 9 8 6 4 5 5 6 6 6 6 7 8 9 9 9 10 10 7 4 5 6 5 5 5 4 4 4 5 6 7 7 7 8 8 8 8 7 6 5 5 5 6 6 7 8 9 10 11 11 10 9 9 8 7 6 5 4 4 4 5 6 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 6 6 7 8 9 11 12 12 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 5 5 4 4 4 5 6 6 6 7 7 7 7 8 7 7 6 6 6 5 6 6 7 8 10 13 16 18 18 17 15 13 11 9 8 8 8 8 8 8 8 8 7 6 6 5 5 5 5 6 6 7 7 7 7 6 6 5 5 5 5 4 4 4 4 4 4 3 4 4 5 5 5 6 6 7 7 7 7 7 7 6 5 5 5 6 6 6 6 8 9 8 5 2 1 1 1 2 2 2 2 2 3 4 4 5 5 5 6 6 6 7 7 7 6 6 5 6 8 14 21 20 12 9 8 7 10 7 2 2 4 5 5 5 5 5 5 5 6 6 6 7 8 8 6 6 5 6 8 9 10 12 15 17 16 12 7 5 8 8 4 3 5 6 6 5 6 6 8 11 8 7 12 10 7 5 3 4 5 7 11 19 19 10 4 3 5 7 5 3 4 5 5 2 2 3 3 4 7 9 9 12 14 7 1 1 7 12 8 5 6 8 9 8 4 -1 -1 7 12 13 11 8 8 10 9 6 7 8 5 3 4 6 5 4 5 7 13 19 16 7 4 5 6 6 6 6 5 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 6 6 5 5 6 6 5 3 2 2 2 3 3 4 6 7 7 6 6 6 6 7 7 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 6 6 6 6 6 7 5 3 2 2 2 3 3 4 5 5 6 6 5 4 3 2 2 2 2 2 3 3 4 4 5 6 9 10 11 11 9 8 6 6 6 7 7 5 -8 -9 3 6 7 8 9 8 7 5 3 4 4 5 5 6 7 9 10 10 9 9 10 10 6 5 6 5 5 4 4 4 4 5 6 7 7 8 8 8 8 8 7 6 5 5 5 6 6 6 7 7 8 9 10 10 10 10 9 8 7 6 5 4 5 5 6 6 5 5 6 5 5 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 6 6 6 6 7 8 9 10 10 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 5 4 5 5 5 5 5 5 5 5 6 7 7 8 8 7 6 6 5 5 5 5 6 8 10 12 14 16 16 17 17 16 15 14 12 11 10 10 10 10 9 8 7 5 5 5 5 6 7 7 8 8 8 7 6 5 5 4 4 4 4 4 4 4 4 3 4 4 4 5 5 6 6 6 7 6 7 8 8 7 6 6 6 7 7 7 7 8 10 8 5 2 2 2 2 2 2 3 3 4 5 6 6 6 5 5 5 5 6 7 7 7 6 6 7 10 15 22 25 21 13 8 5 4 6 3 -0 3 5 5 5 5 5 4 5 6 6 6 6 6 6 6 7 7 7 8 8 5 5 8 10 12 14 13 8 6 8 6 4 4 4 4 5 6 7 7 7 6 4 7 11 9 10 9 6 6 6 7 16 23 17 7 3 2 3 5 5 5 6 4 4 2 5 4 4 7 12 16 15 16 18 10 1 -1 5 8 3 0 3 8 8 7 3 1 7 13 12 10 8 7 8 9 8 6 8 9 6 4 5 5 4 4 5 10 19 21 13 4 4 5 6 6 6 6 5 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 6 6 5 6 5 4 3 1 2 3 3 4 5 6 7 7 6 5 5 5 5 6 6 6 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 5 3 2 2 3 3 4 4 5 6 6 6 5 4 3 3 2 2 3 3 3 3 3 4 6 8 9 10 11 13 10 7 6 6 6 6 7 6 -1 -5 2 4 5 6 8 8 7 6 5 4 4 5 5 6 8 9 9 9 8 7 8 6 3 5 6 5 5 4 4 4 5 6 6 7 8 8 8 8 8 8 7 6 6 5 5 5 6 6 7 7 7 7 7 8 9 10 11 10 10 8 6 5 5 6 7 6 6 6 5 5 5 6 6 6 6 6 6 5 5 6 6 6 5 6 6 5 6 6 6 5 5 6 6 6 6 7 7 8 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 5 5 5 5 6 6 6 5 5 3 3 3 4 5 6 7 8 8 7 6 6 5 5 5 5 5 5 6 8 10 13 16 19 20 19 17 14 13 13 12 12 11 10 10 8 7 7 7 7 8 8 8 9 10 9 7 6 6 5 5 3 3 3 4 4 4 4 4 4 4 5 5 5 6 6 6 7 7 7 7 7 7 6 7 7 8 8 7 8 9 10 8 4 2 2 2 2 2 2 3 4 5 6 7 7 6 5 5 5 5 6 6 6 5 6 8 12 16 18 20 22 21 15 11 8 8 5 -0 0 3 4 4 4 4 4 5 5 6 7 6 6 6 6 8 10 9 8 10 9 4 2 4 5 6 10 12 11 8 6 4 7 6 6 6 5 4 5 6 5 3 3 6 8 10 11 12 10 8 7 10 20 21 13 6 4 3 4 5 6 7 6 3 3 6 10 7 7 12 19 18 11 4 -0 -0 3 5 4 6 7 6 4 5 4 5 6 13 20 19 12 8 7 7 8 7 7 7 9 9 6 5 5 4 4 5 7 14 23 18 6 2 4 5 6 6 6 6 5 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 5 4 2 1 2 4 5 5 6 7 7 6 5 5 4 5 6 5 6 7 7 8 8 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 6 5 5 6 6 7 6 6 6 6 7 7 5 3 2 2 3 3 4 5 5 6 6 6 5 4 3 3 3 3 3 3 3 3 3 5 7 11 12 11 12 14 10 7 7 6 6 6 6 4 -2 -3 2 5 5 5 5 6 6 6 6 5 4 4 5 6 7 8 9 7 6 7 9 9 -0 0 5 5 5 4 4 5 6 6 7 7 8 8 8 9 8 8 7 6 6 5 5 5 6 6 6 6 7 7 7 7 7 9 11 13 13 10 8 6 6 7 7 6 6 5 5 5 6 6 6 6 6 6 5 5 6 6 6 6 6 5 5 5 6 6 5 5 6 6 6 6 6 6 6 7 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 4 4 5 6 7 7 7 6 5 3 3 3 3 3 4 6 7 8 8 7 7 6 6 6 5 5 4 5 5 6 9 12 16 18 17 14 12 11 12 12 12 12 12 11 10 9 9 9 8 8 10 11 11 11 10 8 6 5 5 4 3 3 3 4 4 5 5 4 4 5 5 5 6 6 6 6 6 6 6 7 7 6 7 7 8 9 9 8 9 10 9 6 4 3 3 2 2 3 4 4 5 6 7 7 6 5 4 4 5 5 5 5 5 6 9 14 16 16 15 12 12 15 18 20 20 16 6 1 1 3 3 3 4 4 4 5 6 6 6 6 6 6 9 13 13 9 8 10 10 7 3 3 4 4 7 9 12 10 6 8 9 8 9 8 5 4 4 5 5 5 7 7 5 8 8 10 12 11 10 14 20 16 9 5 5 4 4 4 5 7 5 4 4 9 11 8 10 15 17 12 2 -3 -4 -3 5 11 8 5 8 9 7 6 6 5 13 23 26 19 10 6 6 8 8 7 7 9 10 7 4 3 4 5 5 6 10 18 22 13 3 3 4 5 6 6 7 6 5 4 4 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 4 3 2 2 4 5 6 6 5 5 5 5 5 5 5 5 6 6 6 7 7 8 8 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 6 6 5 3 2 2 3 4 4 5 5 6 6 6 5 5 4 3 3 3 3 3 3 4 4 7 10 14 13 12 14 13 8 6 6 7 7 7 6 5 -3 -9 -1 5 5 5 5 5 6 7 8 5 2 3 3 3 4 5 6 5 5 7 10 13 5 -1 5 6 5 5 5 5 6 7 7 8 8 8 8 9 10 8 6 6 6 6 6 5 5 5 5 6 6 7 7 7 6 7 10 14 16 14 11 9 7 7 6 5 5 5 5 5 5 6 6 5 5 6 6 6 6 5 5 6 6 6 5 6 6 5 5 6 6 6 6 6 6 6 6 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 5 6 7 8 8 8 6 4 3 3 3 4 4 5 7 8 9 8 8 7 7 6 6 6 5 5 5 6 7 9 11 12 12 10 9 9 10 10 10 10 11 12 13 12 10 8 8 8 10 11 12 11 10 9 7 6 5 3 3 3 3 4 4 5 5 5 4 4 5 5 5 5 5 5 5 5 6 6 6 6 7 7 8 9 8 9 10 10 8 5 3 3 3 3 3 4 5 5 5 5 5 5 5 5 5 5 4 5 6 7 9 14 19 18 15 13 14 12 7 10 19 23 23 14 4 1 2 2 2 3 3 4 5 5 6 6 6 7 9 11 15 16 14 9 7 8 9 8 5 3 3 4 6 8 9 9 9 10 8 9 7 5 4 5 5 5 4 6 7 6 3 2 3 6 10 11 11 16 18 12 6 5 5 4 4 3 4 6 6 6 3 8 7 7 11 11 8 6 4 5 8 10 11 8 4 4 6 3 5 8 9 10 18 23 21 14 8 6 7 8 8 7 8 9 8 5 3 2 4 6 7 8 13 21 21 9 2 3 5 5 6 6 6 7 6 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 4 5 6 6 5 4 2 2 3 4 6 6 5 4 4 4 5 5 5 4 5 5 6 7 7 7 7 7 6 6 6 5 5 5 6 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 4 3 3 3 4 4 5 5 5 5 6 6 6 5 4 3 3 3 3 4 4 4 6 9 12 13 13 13 14 10 6 6 7 8 7 6 6 7 1 -8 -5 3 5 5 5 5 6 6 9 10 5 3 3 3 2 -0 1 4 6 10 10 8 8 3 5 5 5 5 5 5 6 7 8 8 8 7 8 9 10 9 7 7 7 7 6 6 6 5 5 5 6 6 6 7 6 6 8 13 16 18 15 11 8 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 7 6 6 5 6 5 6 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 5 5 6 8 8 8 6 5 4 4 5 5 5 5 6 8 8 8 8 7 7 7 6 6 6 6 7 7 7 7 7 9 9 9 9 9 8 8 8 9 10 12 13 12 10 8 7 8 9 11 11 11 10 8 7 6 5 4 3 3 3 4 4 5 5 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 8 8 9 10 8 6 4 3 3 4 4 5 5 5 5 5 4 4 4 4 5 5 5 7 12 16 20 23 28 27 19 10 8 14 18 15 13 16 16 12 5 1 1 2 3 2 3 3 4 4 5 5 6 8 12 16 18 18 14 11 9 7 7 8 9 7 4 3 4 6 6 5 5 6 3 3 6 3 1 2 4 5 3 2 3 2 1 -1 -1 1 3 6 8 9 14 16 10 6 5 6 6 6 5 5 5 7 6 4 6 -0 0 9 8 5 6 11 14 14 13 9 1 -2 4 7 2 3 8 10 11 15 17 15 9 7 7 8 7 7 7 8 8 7 5 4 4 5 6 9 10 13 20 18 7 2 4 5 5 6 7 6 7 7 5 5 5 5 5 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 4 4 3 3 3 4 5 5 5 5 4 5 6 6 4 3 2 2 5 6 5 4 4 3 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 6 5 6 6 5 6 6 6 6 6 6 6 6 6 6 7 7 8 7 7 7 7 5 4 3 3 4 4 4 4 4 5 5 5 6 5 5 4 4 3 4 4 4 4 5 9 12 12 11 13 12 12 8 6 6 10 13 11 6 6 7 4 -1 -1 3 5 5 5 5 5 6 8 12 12 11 9 8 8 4 0 2 7 12 12 6 3 4 5 5 5 5 5 6 7 7 8 8 8 7 8 9 9 9 8 8 7 7 7 7 7 6 6 6 6 6 7 7 6 6 7 10 14 18 18 14 9 6 5 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 6 6 5 5 5 6 7 7 7 5 5 6 7 7 6 6 6 7 8 8 8 7 7 7 7 7 8 8 8 8 7 6 6 7 8 9 9 9 8 8 8 9 9 9 10 10 10 9 7 7 8 9 9 9 9 8 8 7 5 5 4 3 3 4 4 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 8 9 9 6 4 3 3 4 4 5 5 4 4 4 3 3 4 3 4 5 6 11 19 26 31 35 35 31 25 17 7 1 8 18 20 16 12 8 4 1 0 2 3 3 3 3 3 4 4 5 6 8 12 16 17 16 13 10 8 8 8 7 9 12 12 8 4 3 3 3 2 3 4 1 1 1 2 3 4 4 4 1 1 1 -1 -3 -2 -1 0 3 4 5 6 11 14 10 6 6 7 7 7 7 7 5 4 4 5 8 5 3 3 3 5 7 13 17 17 11 3 -2 3 7 5 4 4 6 11 14 17 16 11 7 7 8 8 7 7 7 8 7 6 5 4 5 6 9 10 10 12 17 16 7 3 6 6 6 6 6 7 7 7 6 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 3 2 2 3 5 6 6 5 5 5 6 6 5 3 2 3 5 7 7 5 3 3 3 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 7 6 5 4 4 4 4 5 5 5 5 4 5 6 5 5 5 5 4 4 4 4 5 6 10 12 14 15 14 13 12 10 6 5 7 13 18 16 10 6 6 4 3 3 5 5 5 5 5 5 5 6 8 10 12 13 12 13 10 4 3 7 11 12 7 2 3 4 4 4 5 6 6 7 8 8 8 8 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 8 11 15 17 15 11 8 7 7 7 8 8 8 7 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 4 5 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 7 7 6 5 4 4 5 6 7 6 5 6 8 8 6 6 5 6 6 6 7 7 7 7 7 8 9 9 9 7 6 5 5 6 7 7 8 9 8 9 10 10 10 8 7 8 9 9 9 9 8 8 8 8 8 8 8 7 6 6 5 4 4 4 4 5 4 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 6 4 3 5 5 5 5 4 4 4 3 3 3 3 4 5 7 14 23 28 28 27 25 22 18 17 17 11 4 4 7 12 11 7 4 3 2 2 2 3 3 3 3 3 3 4 6 9 12 16 17 14 10 8 6 5 7 9 8 10 15 16 11 5 3 4 4 3 5 6 5 2 0 3 7 6 5 4 2 2 3 2 1 0 0 2 3 3 4 4 8 12 9 5 7 7 6 6 6 6 3 3 5 5 6 10 5 -5 -4 4 8 10 11 11 11 10 10 10 9 6 5 8 10 13 18 21 17 10 8 9 9 7 6 7 8 7 7 6 5 4 5 8 10 9 9 10 15 17 10 5 6 6 6 6 6 7 7 7 6 6 5 5 5 5 5 5 5 4 5 5 5 5 5 5 6 5 5 5 4 2 1 1 4 7 7 7 6 5 5 6 6 4 3 2 5 8 9 7 5 4 3 3 4 4 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 6 7 7 7 7 8 7 7 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 7 11 16 16 14 17 17 13 10 6 5 5 5 5 10 14 12 7 5 4 4 4 6 6 6 6 6 5 5 6 6 6 7 9 10 10 7 4 5 7 8 7 6 3 3 3 4 4 5 6 6 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 6 7 7 7 7 7 7 8 8 10 12 16 16 13 11 9 9 10 10 11 12 11 10 8 7 6 6 5 6 7 6 6 6 6 6 5 5 5 5 6 5 6 6 6 6 5 3 4 4 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 8 8 7 7 6 5 4 4 4 5 6 6 6 5 5 6 6 6 5 4 5 5 5 6 7 6 6 6 7 7 6 5 4 4 5 6 6 6 6 7 8 8 9 11 12 10 9 8 9 9 10 11 11 10 8 6 5 6 6 6 5 5 5 6 6 6 6 5 4 4 3 4 5 5 5 6 6 5 6 5 5 5 4 4 4 5 5 6 6 6 6 6 6 6 5 5 5 4 4 3 3 3 3 3 4 10 20 27 22 13 9 7 2 1 3 5 9 14 16 13 7 3 6 13 7 1 1 2 2 2 2 2 2 3 3 3 7 12 14 14 12 10 8 8 7 6 5 3 2 2 7 11 12 10 8 6 9 8 4 5 7 5 4 5 6 7 8 7 5 5 2 2 2 2 3 5 6 5 4 4 5 8 11 9 5 4 2 1 3 4 3 2 5 7 3 -2 -7 -1 9 10 7 6 1 -1 4 9 10 11 13 14 15 16 15 18 22 22 15 10 9 8 6 6 7 7 7 8 8 6 5 5 5 7 10 10 9 9 14 20 16 8 4 5 5 5 5 5 6 7 7 6 5 5 5 5 5 5 5 4 4 4 5 5 4 5 5 5 5 4 3 1 1 2 4 7 9 10 8 6 5 6 6 5 2 2 5 8 9 8 6 5 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 5 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 6 5 4 4 4 4 5 5 5 5 5 5 5 6 11 18 16 9 7 12 17 15 9 5 6 5 0 -7 -9 -3 5 7 6 5 4 5 6 6 6 6 6 6 7 7 7 7 7 6 7 8 7 6 5 6 7 7 6 6 5 6 6 6 6 5 5 6 7 7 7 7 7 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 5 5 6 7 8 8 8 8 10 12 14 14 13 11 11 11 10 11 12 13 15 16 15 12 9 8 6 5 6 6 6 7 6 6 5 5 5 5 5 5 6 6 7 6 6 4 3 2 2 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 9 10 9 8 8 7 6 6 5 6 6 6 5 6 7 7 6 6 7 7 7 7 7 7 8 9 9 8 7 6 5 5 5 6 7 6 6 6 6 6 6 6 5 6 6 8 9 10 10 11 10 10 10 11 10 8 7 6 6 6 5 5 4 5 6 7 7 6 5 4 4 3 3 4 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 10 19 21 12 2 -2 -1 2 5 6 7 6 13 20 23 21 15 12 14 13 7 2 -0 0 1 2 2 2 1 1 2 5 7 8 8 8 8 8 8 10 13 12 11 9 10 10 7 4 2 3 6 7 7 6 7 6 6 6 7 8 7 7 5 6 8 4 4 6 2 2 5 5 3 3 5 8 9 7 5 5 8 12 10 9 7 5 7 6 5 5 6 5 5 4 5 4 7 15 13 5 3 2 3 7 11 14 17 16 12 10 11 12 11 9 6 3 4 5 6 7 7 8 8 6 4 4 5 8 10 9 8 7 7 10 12 13 11 7 5 5 5 5 5 5 6 6 6 5 4 4 3 4 4 5 4 4 4 5 5 5 5 5 4 3 1 1 2 3 5 8 9 9 8 8 7 6 6 6 4 2 3 5 6 5 5 5 5 5 5 4 4 3 4 4 4 4 4 3 4 4 3 4 4 4 4 4 4 5 5 5 5 5 5 6 5 5 5 5 5 4 5 5 5 6 6 7 8 8 9 9 9 9 9 9 8 8 7 5 4 3 4 5 5 6 6 7 7 6 6 8 14 15 9 6 9 13 16 13 8 5 5 5 5 5 5 4 5 6 7 4 4 5 6 6 6 6 7 7 6 7 7 8 7 6 6 7 9 8 6 5 6 8 8 7 6 7 7 7 6 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 7 6 6 5 5 4 4 4 4 5 7 7 8 8 7 7 8 8 8 9 9 9 8 8 8 8 8 9 10 12 14 14 12 11 9 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 6 6 6 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 6 5 5 7 8 8 7 7 7 8 9 8 5 5 5 5 4 4 5 5 5 5 5 4 5 6 6 6 6 6 5 6 6 6 6 5 6 6 6 7 7 8 7 6 5 4 4 4 4 4 5 6 6 6 5 5 4 5 5 6 8 10 11 10 8 7 7 7 7 7 6 5 3 3 4 6 8 8 6 4 4 5 6 7 7 7 6 6 6 6 5 5 5 6 6 6 6 6 7 9 10 7 4 1 0 -0 -1 5 9 7 7 7 8 10 10 9 10 9 8 11 12 12 12 13 10 7 4 2 1 2 6 12 18 20 18 12 6 2 4 7 9 9 8 5 4 7 8 8 8 9 8 7 5 4 5 7 8 9 7 6 6 6 4 1 1 6 7 7 10 11 9 9 9 7 4 3 3 4 4 5 6 7 10 10 10 10 7 5 4 6 11 12 11 11 13 17 15 7 2 1 0 3 6 7 7 12 13 9 7 8 8 6 4 6 10 10 8 6 5 2 2 7 8 9 8 7 8 10 10 10 9 8 7 7 7 5 5 12 17 14 9 5 4 5 5 5 5 5 4 4 4 5 5 6 5 5 5 5 5 5 5 5 6 5 4 3 3 3 5 6 7 8 6 4 3 3 4 4 5 7 8 9 8 8 8 7 6 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 8 8 8 9 8 8 8 7 6 5 4 4 4 4 5 5 6 6 5 5 5 6 10 11 8 10 10 10 15 16 12 7 6 6 5 5 5 5 5 7 11 13 10 7 6 5 5 6 7 7 6 7 7 8 8 9 8 7 6 6 8 7 6 8 9 9 7 6 6 7 7 7 6 6 6 6 6 5 4 4 7 10 11 9 6 5 5 5 5 6 7 7 7 8 8 8 8 7 7 6 5 5 6 7 9 9 8 7 6 6 6 7 7 7 7 8 8 8 8 9 9 8 8 8 9 11 13 15 16 15 13 12 11 10 10 10 10 10 9 8 8 7 7 8 8 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 7 8 8 6 6 6 7 9 8 7 5 4 4 4 4 5 6 6 6 5 5 5 5 5 4 4 4 4 4 5 6 6 7 7 7 8 9 9 9 9 8 7 6 5 5 4 3 4 5 6 6 5 4 4 4 5 7 9 12 14 13 10 8 7 7 7 7 7 6 4 3 5 7 8 8 6 4 4 5 6 7 7 7 6 6 7 6 6 5 5 5 5 6 6 6 9 11 10 7 3 1 1 1 3 6 7 5 5 5 8 11 13 13 12 12 17 22 19 16 14 11 8 5 3 1 1 2 5 9 13 15 15 12 5 2 4 4 5 7 7 7 6 6 6 6 7 9 8 8 7 5 6 6 8 10 9 8 9 9 6 2 3 7 7 7 7 8 9 9 10 11 9 7 7 6 6 7 8 8 9 9 9 7 6 5 5 5 7 9 10 9 8 11 8 3 1 1 2 5 9 12 13 15 14 9 7 8 6 3 3 6 8 8 7 6 4 1 3 6 7 8 8 7 9 13 14 11 9 7 7 7 5 5 8 10 10 10 12 9 5 4 4 4 5 4 4 4 4 5 6 6 6 5 5 5 5 5 5 6 6 5 4 4 4 4 5 6 8 7 5 4 3 3 4 5 7 10 12 12 10 9 9 8 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 8 8 7 7 7 6 6 5 5 5 4 4 4 4 5 5 6 6 5 5 5 5 8 10 10 11 10 11 16 15 9 6 4 5 5 5 5 5 6 8 12 12 8 7 6 5 6 6 7 7 7 6 7 8 9 9 9 8 6 6 6 5 5 8 10 10 8 7 7 7 7 6 6 6 6 6 5 5 4 4 6 10 12 11 7 5 4 5 5 6 6 7 7 7 7 8 8 7 7 7 6 6 6 6 8 8 8 8 7 6 6 6 6 6 7 7 8 8 8 9 9 9 9 8 8 9 10 12 13 14 15 14 13 12 11 11 10 10 11 10 8 8 8 8 8 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 8 8 7 5 5 5 6 8 9 8 6 4 4 4 5 6 7 8 8 7 6 7 7 6 5 5 5 5 6 7 7 7 8 8 8 9 9 9 10 10 10 9 8 7 6 5 5 4 5 5 5 5 5 4 5 7 9 11 13 15 15 12 9 7 7 7 7 8 8 6 4 5 7 8 8 7 6 5 5 5 7 7 6 5 6 6 7 7 7 6 5 5 5 5 5 5 3 1 2 2 1 2 3 3 5 6 5 3 7 13 16 17 15 11 12 18 17 12 10 8 6 3 2 2 1 1 1 2 4 7 8 9 10 6 4 6 5 6 6 6 7 8 6 5 5 6 6 8 8 7 6 6 5 6 7 6 7 9 10 8 7 5 5 6 6 6 6 8 10 11 13 16 18 14 8 8 9 9 7 7 10 11 7 4 5 5 6 6 8 8 6 7 11 8 4 2 2 3 5 9 11 12 12 10 7 6 6 5 5 6 7 7 8 7 6 3 1 4 7 8 8 6 7 11 15 14 11 9 8 8 7 6 7 10 9 7 8 10 9 10 9 5 4 4 3 3 4 5 6 7 7 6 6 5 5 5 5 6 6 7 6 6 5 5 5 5 6 7 7 5 3 3 4 5 6 9 12 13 12 11 10 9 8 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 6 6 6 7 7 7 6 6 5 5 5 5 4 4 4 4 4 4 5 6 6 5 5 5 5 8 12 13 10 9 12 15 12 7 5 4 5 5 5 6 6 7 10 11 8 6 6 6 6 6 7 7 7 7 7 7 7 8 9 9 9 8 6 5 5 5 7 9 9 9 7 7 7 7 7 7 7 7 7 6 5 5 4 5 8 11 9 6 5 4 4 5 5 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 7 8 8 8 7 7 6 6 6 6 7 7 8 8 8 8 9 8 8 7 8 8 9 10 11 12 13 13 13 13 12 11 11 11 11 10 10 9 8 7 8 9 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 9 10 10 9 6 5 4 4 5 7 9 9 7 5 4 4 5 7 9 9 8 8 7 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 9 8 9 11 11 11 11 10 8 8 7 5 5 5 5 5 4 4 6 8 10 12 14 15 15 13 9 7 6 6 8 9 9 7 5 5 6 8 8 7 7 6 5 5 6 6 6 5 5 6 8 9 8 6 5 5 5 5 5 2 -2 -2 2 2 3 3 4 4 6 7 5 3 10 19 22 19 13 12 18 19 11 4 3 2 2 2 2 3 2 1 2 2 4 7 8 9 8 7 6 8 8 8 8 8 7 6 6 4 4 5 5 7 6 5 5 6 7 7 6 3 2 4 7 9 10 7 4 5 7 8 8 9 11 13 12 14 19 18 11 7 8 7 5 7 12 13 9 4 3 6 7 9 9 6 5 14 16 9 4 2 3 4 5 7 9 9 8 8 7 6 6 6 7 7 7 7 8 7 5 3 3 6 8 9 7 4 6 11 14 12 10 9 8 8 8 8 9 10 8 6 6 6 9 15 15 6 4 4 3 2 4 5 6 7 7 6 6 5 5 5 5 6 6 7 7 7 6 5 5 5 6 6 6 4 3 4 6 6 7 10 12 13 11 10 10 10 8 6 5 4 4 4 4 4 4 4 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 6 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 4 5 9 13 12 9 10 14 16 11 6 5 6 6 6 6 5 5 6 7 8 6 6 6 6 6 6 7 7 7 7 6 6 7 8 8 9 9 9 7 6 4 4 6 8 9 8 7 7 7 7 7 7 7 8 8 7 6 5 4 4 7 8 7 6 6 5 5 5 5 5 5 6 6 7 7 7 7 8 8 7 7 6 6 5 6 7 8 8 8 7 7 6 6 6 6 7 7 7 8 8 8 8 7 7 7 7 7 8 9 10 11 12 13 13 14 13 12 12 12 12 11 10 10 9 9 9 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 10 11 11 8 6 5 5 5 6 9 10 8 7 5 5 6 8 9 9 8 7 7 8 8 7 8 8 8 9 8 8 8 8 9 9 9 8 8 7 8 11 13 14 13 12 11 11 10 8 6 5 5 4 3 3 5 8 11 13 13 14 13 12 9 7 6 6 8 9 10 8 6 5 6 7 7 7 6 5 6 6 6 6 5 4 4 5 8 10 8 7 5 5 5 5 4 3 4 4 4 4 4 5 5 5 6 6 4 4 11 19 20 16 11 18 23 18 8 2 0 1 1 2 2 3 3 3 4 5 6 8 10 11 10 8 8 7 8 9 9 9 9 7 7 5 4 5 5 5 4 4 4 7 8 9 8 4 1 -1 1 6 9 10 9 7 9 9 9 9 12 14 13 12 14 14 13 9 6 5 5 9 14 14 10 6 4 4 6 10 11 6 6 16 15 6 1 1 3 6 7 8 9 8 8 10 9 7 7 8 9 8 7 7 9 6 3 4 5 6 8 6 5 6 8 11 12 10 10 8 7 8 10 10 10 9 7 5 4 5 9 15 12 4 8 11 5 1 2 5 7 7 7 7 6 5 4 5 5 5 6 7 7 7 6 6 5 5 6 6 5 4 4 5 6 6 7 10 12 11 10 10 10 9 7 6 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 6 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 7 12 12 10 12 16 16 11 7 5 6 5 5 5 5 5 4 1 2 5 5 5 5 6 7 7 7 7 6 6 7 7 7 8 8 8 8 8 7 5 4 5 7 8 8 6 6 7 7 7 7 7 7 7 7 7 6 4 4 5 5 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 7 7 6 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 7 7 8 8 9 10 12 12 13 13 14 14 13 13 13 12 11 10 10 10 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan nan nan nan nan nan nan nan nan nan 9 7 10 14 18 18 16 13 12 11 11 10 12 15 13 10 8 7 5 4 7 8 9 10 12 14 15 16 13 10 9 12 13 14 14 15 15 14 13 12 11 10 9 9 9 10 11 12 13 14 15 15 14 12 12 11 11 10 9 8 8 8 10 12 16 17 16 13 10 8 8 8 8 9 9 10 11 13 14 15 16 15 13 12 11 10 11 10 11 11 11 11 11 10 10 10 11 11 11 12 12 12 12 11 11 12 12 12 12 12 11 12 12 12 13 13 13 12 12 12 13 13 13 12 12 12 11 11 12 12 12 13 13 12 12 12 12 12 11 11 11 11 12 11 11 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 11 11 11 12 12 12 12 12 12 12 11 10 10 11 12 13 12 11 11 9 9 11 17 19 16 14 13 13 12 12 12 11 11 12 13 14 13 12 11 10 12 12 12 12 13 13 14 14 13 12 11 11 11 11 11 11 12 14 14 14 13 11 11 11 11 12 12 11 11 11 12 13 14 15 14 13 13 12 12 12 10 8 7 10 14 16 14 12 11 12 11 12 12 13 13 13 12 12 11 12 12 13 13 13 12 11 11 11 12 12 12 11 10 10 10 10 11 11 11 10 10 11 10 10 11 12 12 11 12 12 12 11 11 13 12 12 12 12 14 14 10 8 7 7 8 8 8 9 9 9 10 11 11 11 11 10 10 10 10 11 10 10 10 10 11 11 11 11 11 10 10 10 11 10 10 10 9 9 9 10 10 10 10 11 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 13 14 15 15 13 13 14 14 12 9 6 3 3 7 11 11 11 11 11 11 10 10 11 11 12 12 13 11 11 13 16 16 14 13 12 12 12 12 12 12 12 13 14 17 20 21 20 17 16 16 16 15 14 12 13 13 12 12 12 11 11 12 12 13 14 14 13 13 12 13 13 14 13 13 13 13 14 14 15 15 15 14 13 14 17 19 19 17 12 11 11 11 11 10 12 13 12 11 10 9 10 11 12 12 13 14 15 15 14 14 13 13 14 14 14 14 15 16 16 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 6 8 9 12 16 16 12 8 9 11 13 10 4 6 9 11 14 15 16 14 10 7 9 12 13 15 15 15 15 14 13 13 13 13 12 11 10 11 11 12 13 14 15 15 14 13 13 12 12 10 9 8 8 9 10 13 17 19 18 15 12 10 8 7 8 9 10 11 11 12 13 14 14 14 12 11 11 11 10 10 11 12 12 12 11 11 10 10 10 10 11 12 12 12 12 12 12 12 12 12 12 12 12 11 12 12 12 12 12 12 12 12 13 13 13 13 12 12 11 11 12 13 13 13 13 12 11 11 12 12 12 11 11 11 11 12 11 11 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 11 12 12 12 12 12 12 11 10 10 10 11 12 12 11 11 9 7 7 14 20 20 19 16 14 13 12 11 11 11 11 12 13 14 13 13 12 11 11 11 11 12 13 13 13 13 13 13 12 11 12 12 11 11 13 15 15 14 12 11 10 10 11 13 13 12 11 10 9 12 15 14 13 12 13 14 14 13 9 7 8 10 13 15 15 15 14 12 11 12 13 13 13 13 12 12 13 12 12 12 12 12 10 10 11 11 11 12 11 10 11 11 11 11 11 11 11 11 11 10 11 11 11 12 12 12 12 12 12 12 12 13 13 13 12 12 14 12 9 8 7 8 8 9 8 8 8 9 11 10 10 9 9 9 9 9 9 10 9 8 8 9 10 10 10 10 10 10 10 10 11 10 11 10 10 10 10 10 10 10 11 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 13 13 13 15 15 15 14 11 7 3 3 5 8 11 12 12 12 11 10 10 10 10 11 11 11 11 12 13 14 17 18 15 12 10 12 13 13 13 13 13 14 14 14 14 14 15 15 14 15 15 15 14 14 13 13 13 12 13 13 12 12 12 13 14 14 13 12 12 12 14 14 14 14 13 13 13 13 14 14 15 15 14 15 16 17 17 17 13 11 11 13 13 12 12 13 11 10 10 10 10 12 12 11 12 14 14 15 14 13 13 13 13 12 12 13 14 14 15 15 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 11 12 13 12 5 3 7 12 14 15 14 12 9 9 11 14 15 16 15 15 15 13 13 13 15 15 15 14 12 11 11 11 12 12 13 13 14 13 13 14 14 13 12 11 10 10 11 12 14 17 19 18 16 13 10 8 8 9 10 10 10 11 12 12 13 13 13 11 10 10 11 11 12 11 12 12 12 12 11 11 11 10 10 11 11 12 12 12 11 11 12 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 13 12 11 11 11 11 12 12 13 13 13 12 10 10 11 12 12 12 11 11 11 11 11 11 12 12 12 11 11 11 10 11 11 12 12 12 12 12 12 12 12 11 11 12 12 12 11 12 11 10 11 11 11 11 12 12 11 9 7 9 13 17 20 21 18 15 13 12 12 11 11 12 13 13 13 13 14 12 12 10 10 11 12 12 12 13 14 13 13 12 13 13 12 12 12 13 13 14 13 12 11 10 11 13 14 14 13 11 9 11 13 13 12 12 12 13 15 17 14 10 8 8 9 12 14 15 14 14 12 12 12 13 13 13 14 14 13 13 13 12 12 12 11 11 11 11 12 12 12 12 12 12 11 12 12 12 12 13 12 12 13 13 13 12 12 12 12 13 13 13 13 12 12 12 11 10 11 12 12 11 10 10 9 8 7 6 6 6 7 8 9 8 7 6 6 7 9 9 9 8 8 8 8 10 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 10 10 10 10 10 10 11 12 12 12 13 13 13 12 12 12 13 14 15 16 16 16 13 9 7 8 10 12 14 14 13 12 12 11 11 11 11 10 11 11 12 12 13 14 15 17 16 14 11 11 12 13 13 13 14 14 14 13 13 14 13 13 14 14 14 13 14 14 14 14 13 13 13 13 13 13 13 13 13 14 14 12 12 12 14 15 15 14 13 12 11 12 12 13 13 14 14 14 16 16 17 17 15 12 12 13 13 13 13 13 13 12 10 10 11 12 12 12 12 13 14 13 13 13 13 13 13 13 12 12 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 14 16 14 11 10 13 17 19 18 18 16 14 13 12 13 14 14 15 15 14 12 11 11 11 12 12 12 12 13 13 12 13 14 14 14 14 13 14 15 17 19 20 20 19 16 12 10 8 8 9 10 10 10 11 11 12 13 13 13 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 13 12 11 11 12 12 12 13 13 12 12 12 11 11 11 11 11 11 12 11 10 10 11 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 10 11 11 11 12 13 12 9 7 7 10 15 23 24 18 14 13 13 12 12 12 12 12 13 14 14 13 12 12 11 10 11 11 11 10 11 12 14 13 12 14 14 13 13 13 13 12 12 12 11 10 11 12 13 14 12 11 12 12 13 12 12 12 12 12 14 16 15 13 11 9 8 9 11 12 13 13 13 12 12 13 13 13 13 14 14 13 13 13 14 12 11 12 11 11 12 12 13 12 12 12 12 12 12 12 12 13 13 13 14 14 14 14 14 14 14 14 14 14 14 13 11 9 8 9 11 14 14 13 12 12 11 10 9 7 7 6 6 7 7 7 8 7 7 8 9 9 9 9 9 9 9 10 11 10 11 10 10 11 10 10 11 11 11 11 10 9 9 9 10 10 10 10 11 12 12 13 13 13 13 14 13 13 12 12 13 15 17 17 15 13 13 11 9 11 14 15 14 13 12 12 11 11 11 11 11 11 12 12 12 12 13 14 16 16 15 14 13 13 14 14 13 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 14 13 13 13 12 12 12 13 14 15 15 14 12 12 14 15 15 15 13 12 12 12 13 13 13 13 13 13 14 16 17 17 15 14 14 13 12 13 12 12 13 13 11 10 11 12 13 13 13 13 14 14 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 15 12 11 10 11 13 14 15 15 15 13 12 11 11 11 12 12 12 12 12 11 12 12 13 13 14 16 17 19 21 22 22 21 21 19 15 11 9 7 8 10 9 10 11 11 11 12 13 14 13 11 10 11 12 12 13 14 13 12 12 12 12 11 12 11 11 12 11 11 11 12 11 11 11 11 10 11 11 11 11 12 12 11 12 12 11 11 11 12 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 10 11 10 11 11 11 11 10 11 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 12 12 11 11 10 10 11 13 13 12 10 7 5 7 20 27 21 17 14 13 12 12 13 12 12 13 13 14 14 13 13 12 11 12 12 10 8 7 10 12 12 11 12 12 13 14 15 14 12 11 11 11 11 11 11 12 13 12 11 11 12 12 11 12 11 11 11 13 13 13 13 12 11 10 9 9 10 11 12 13 12 12 12 13 12 13 13 14 14 14 14 15 15 14 13 12 12 12 12 12 12 12 13 12 12 12 11 12 13 14 15 15 16 17 17 17 16 17 18 16 15 15 14 12 10 8 9 10 12 13 13 13 12 12 11 11 10 10 9 9 9 10 9 9 9 9 10 10 11 11 11 10 11 11 11 11 11 12 11 10 10 10 9 10 11 11 10 9 9 9 10 10 10 11 12 12 12 13 14 14 14 14 14 13 12 12 13 14 15 15 12 10 10 11 11 10 12 13 14 13 12 11 12 12 11 11 11 12 12 12 12 13 13 14 16 19 19 18 17 15 14 14 14 14 13 13 13 13 13 12 12 12 12 13 13 13 12 12 12 12 13 14 14 14 14 13 13 13 14 14 14 14 13 13 14 15 14 12 11 12 13 13 13 13 13 13 14 14 13 14 14 14 14 14 13 11 10 10 11 11 11 11 10 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
nan nan nan nan nan nan nan nan 6 5 5 5 5 6 9 12 16 21 26 31 35 38 39 39 40 39 38 39 41 42 42 41 40 38 35 32 29 26 25 22 19 16 13 9 7 7 8 8 9 8 8 8 9 9 9 8 6 6 5 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 7 2 5 6 9 6 5 1 1 2 4 6 7 7 6 7 7 7 14 29 36 31 19 4 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 9 12 19 37 55 80 85 50 22 10 4 2 2 0 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 12 19 22 34 46 57 90 129 147 150 142 120 97 80 69 64 68 74 76 87 120 149 154 141 132 135 136 129 119 113 121 136 148 160 165 163 162 163 167 174 175 173 166 153 134 125 143 156 160 148 146 148 142 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 6 6 5 5 4 4 5 5 8 11 16 22 28 31 34 35 36 34 34 36 38 38 39 39 38 35 32 28 25 21 18 16 16 14 13 12 10 10 9 9 10 9 9 9 9 8 8 7 5 4 4 4 4 4 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 3 6 7 6 1 0 0 1 3 6 8 8 8 8 8 10 22 32 32 22 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 8 9 13 17 30 48 67 55 15 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 12 11 14 22 37 64 110 143 150 148 137 121 111 109 106 102 92 85 94 118 142 152 142 130 130 130 123 113 107 110 117 125 134 145 154 162 163 161 166 172 174 169 159 153 140 147 152 154 149 145 144 141 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 8 7 6 6 5 5 4 4 4 4 5 7 11 18 25 29 32 33 30 30 31 34 35 34 34 32 30 28 26 23 19 16 15 14 14 14 14 13 12 11 11 11 11 10 9 9 8 6 6 4 4 4 4 4 4 4 4 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 7 7 2 0 0 0 1 5 7 8 8 9 9 8 14 24 26 20 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 11 15 13 13 17 18 22 36 43 16 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 2 0 7 34 69 107 139 146 140 134 126 120 122 125 121 110 99 96 105 130 145 142 133 129 127 114 98 89 92 101 106 107 115 132 146 155 155 155 164 173 168 160 160 164 163 158 156 156 156 154 151 150 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 10 9 8 7 6 5 5 5 5 5 4 4 5 10 17 23 28 28 27 26 27 29 31 31 30 28 28 29 27 25 23 20 18 17 15 14 14 15 14 14 13 13 12 11 9 8 7 5 5 4 4 4 4 4 3 3 3 3 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 6 4 2 1 1 0 3 5 7 8 8 8 8 8 11 14 12 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 20 35 40 28 21 22 24 30 32 23 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 7 31 74 108 124 135 128 112 107 107 108 111 115 117 113 107 101 99 117 145 149 137 130 127 111 89 79 80 87 92 95 100 109 123 137 144 146 154 166 168 161 159 167 171 164 158 160 161 162 163 161 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 8 9 9 9 8 7 6 5 5 5 5 4 4 5 8 13 18 22 24 25 26 28 30 32 32 31 32 31 29 27 26 25 22 19 18 17 17 18 18 16 15 14 13 11 8 6 6 5 5 4 4 4 4 3 1 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 3 3 2 1 1 2 2 4 5 5 6 6 6 6 5 3 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 21 46 69 69 52 35 32 32 37 28 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 7 6 13 31 60 100 120 123 121 103 81 79 81 88 97 100 100 103 104 103 103 117 137 148 143 136 130 115 92 78 75 74 75 80 85 90 101 114 124 135 147 158 166 163 160 164 171 166 156 155 157 161 163 159 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 6 6 7 9 9 8 7 6 5 5 5 5 5 4 4 6 9 13 17 20 24 29 33 35 35 34 33 31 29 27 26 24 22 20 19 19 20 21 20 18 16 15 13 11 7 5 5 5 5 4 4 3 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 3 4 3 1 0 0 0 1 1 1 1 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 38 62 77 75 64 53 49 43 26 9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 17 21 23 31 58 84 100 101 102 100 86 71 67 69 79 92 98 96 93 92 94 101 114 130 140 144 142 137 124 100 83 77 71 64 62 66 73 80 89 99 112 131 148 160 166 163 162 169 162 148 144 147 150 152 150 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 5 4 4 5 7 7 7 7 6 6 5 5 5 4 4 4 4 5 8 11 16 23 28 30 31 31 30 29 27 25 23 21 19 18 17 18 19 20 19 17 16 14 12 10 6 5 5 5 4 4 4 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 28 50 56 56 55 52 50 50 41 17 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 18 29 31 44 48 69 82 84 81 81 81 76 68 63 64 77 92 102 102 94 88 86 91 103 116 127 137 144 144 132 107 90 85 78 64 53 51 55 61 67 73 80 97 124 147 165 167 161 159 149 136 130 132 135 139 140 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 5 3 2 2 3 4 5 6 7 7 7 6 5 5 4 4 4 3 4 4 6 9 13 17 20 23 26 26 26 25 23 20 18 15 13 13 14 15 15 14 13 12 11 9 6 6 6 5 4 4 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 20 44 49 37 31 30 31 32 31 23 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 16 28 30 34 42 49 58 62 64 64 65 66 67 64 60 62 74 90 102 104 99 93 88 88 93 99 106 118 137 150 142 116 94 91 90 76 52 41 43 46 51 54 54 58 78 110 140 155 160 153 141 127 117 115 121 129 133 135 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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17 17 17 18 21 23 23 24 25 26 27 28 29 29 32 36 40 42 40 35 32 32 31 30 26 24 25 30 34 35 32 30 28 24 20 16 14 14 15 16 17 19 19 17 18 24 31 32 31 29 29 32 36 37 39 47 57 60 55 43 28 16 12 14 18 21 22 26 34 43 40 23 7 2 7 24 42 56 63 64 63 59 52 47 46 51 57 64 73 82 86 85 78 63 44 31 21 13 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 6 8 9 9 8 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 7 9 12 16 20 24 27 30 32 31 28 23 18 13 10 18 25 30 32 34 37 42 44 40 32 26 24 26 33 52 67 77 78 72 64 57 58 63 66 66 62 60 59 58 59 60 60 59 63 75 82 86 87 84 80 79 83 92 103 112 119 119 115 109 101 94 87 82 77 73 70 70 72 74 76 78 79 81 85 88 90 90 90 90 89 88 89 91 88 84 80 71 59 nan nan nan nan nan nan nan nan nan nan nan
13 13 12 12 13 14 15 18 21 24 25 26 26 26 26 27 32 36 39 40 39 38 36 34 31 27 25 28 33 36 35 33 32 31 28 25 21 19 17 16 17 17 18 18 18 21 26 30 30 29 29 33 39 42 42 48 58 64 60 48 33 18 9 10 14 17 18 20 28 39 40 28 12 3 2 8 23 40 52 55 54 51 49 48 51 56 62 69 79 85 86 80 69 54 38 28 19 12 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 6 8 8 8 8 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 4 3 5 8 12 15 20 26 30 30 25 19 15 18 22 25 26 27 31 38 43 42 35 28 24 24 30 51 70 87 94 84 66 54 53 57 59 59 58 58 57 57 58 60 60 60 59 70 78 83 84 81 76 72 70 73 80 89 97 101 102 100 96 90 85 78 69 62 57 56 57 60 62 63 64 65 68 71 74 76 77 76 76 76 77 79 80 81 82 81 77 nan nan nan nan nan nan nan nan nan nan nan
11 11 11 10 9 8 9 10 13 15 17 20 22 23 23 24 26 30 34 38 40 40 40 39 37 32 29 30 34 36 34 33 33 34 33 32 30 27 23 20 19 18 18 18 20 23 26 28 28 26 27 32 40 46 50 55 64 71 66 56 40 21 8 6 10 14 16 17 26 36 39 31 18 6 1 2 10 24 39 46 47 47 48 51 56 60 67 78 88 92 89 79 66 50 35 25 16 9 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 7 7 7 8 8 7 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 15 25 31 30 26 21 20 22 23 22 22 24 30 36 38 36 31 27 26 29 44 63 79 87 83 67 51 50 53 56 56 56 57 58 57 57 56 55 55 56 62 71 77 78 76 73 69 64 64 68 75 81 87 91 92 92 90 86 76 66 57 49 45 45 46 50 52 52 53 54 56 58 60 62 62 61 62 64 64 64 64 66 72 81 87 nan nan nan nan nan nan nan nan nan nan
10 11 11 11 11 9 8 8 9 9 11 13 16 18 21 22 23 25 28 32 36 37 38 39 39 38 37 36 38 38 33 30 30 31 32 35 36 33 27 22 18 18 18 19 20 22 25 26 25 22 22 31 40 48 55 62 69 75 72 63 46 29 14 9 11 15 18 21 28 36 38 31 20 9 3 1 4 14 29 39 43 46 49 54 58 62 70 81 90 93 89 80 65 48 33 23 15 8 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 1 0 0 0 0 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 1 3 6 8 8 8 7 6 7 6 6 5 4 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 11 26 30 30 26 23 23 23 22 21 21 23 27 30 32 32 32 31 32 39 53 64 68 68 65 55 52 52 55 58 58 56 56 54 50 48 48 48 51 54 61 68 69 69 70 67 61 59 62 67 73 78 83 86 85 85 85 76 66 58 50 44 38 36 39 42 43 43 43 44 45 46 46 46 47 49 53 54 51 48 48 52 62 74 nan nan nan nan nan nan nan nan nan nan
9 9 9 9 10 9 8 8 8 8 9 10 10 11 13 15 18 20 22 26 29 31 34 36 37 39 40 41 41 38 33 28 27 27 32 36 37 31 22 16 15 17 19 20 21 22 24 24 23 20 19 31 39 44 54 62 67 69 69 64 50 36 23 16 18 23 25 27 31 35 33 27 17 7 2 0 4 14 28 38 43 46 49 54 57 59 64 73 83 88 87 79 61 44 31 24 18 12 8 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 2 0 0 0 0 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 1 4 7 9 8 8 6 6 6 6 5 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 11 20 24 26 26 25 23 21 19 18 19 21 23 27 32 36 37 37 37 40 51 59 61 61 59 56 55 57 58 56 52 50 46 43 41 41 42 46 49 52 58 60 62 63 61 55 54 58 64 68 73 78 81 82 83 79 73 66 57 46 37 31 30 30 31 32 32 31 32 32 32 30 31 32 35 39 40 37 35 35 38 43 53 nan nan nan nan nan nan nan nan nan nan
6 7 7 7 7 7 7 7 7 7 8 9 9 9 9 10 10 12 13 15 19 23 27 30 32 34 37 40 41 39 34 29 26 27 31 34 33 25 17 13 15 18 20 20 21 20 21 22 21 19 20 27 35 36 46 58 60 61 62 60 50 41 33 26 29 36 36 34 35 33 28 21 11 3 0 0 5 17 32 41 44 46 50 52 51 48 49 58 71 81 82 73 56 42 35 31 20 13 10 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 2 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 2 5 8 9 8 8 6 5 5 6 5 4 3 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 13 20 24 24 22 18 16 15 16 17 19 23 30 36 41 42 40 33 40 49 55 59 60 60 60 60 57 52 47 43 40 38 36 37 39 43 46 48 48 48 51 53 50 47 46 49 52 59 63 68 71 73 72 67 63 58 47 38 32 29 27 26 24 23 22 22 22 22 22 20 20 21 24 25 25 26 26 26 29 34 37 nan nan nan nan nan nan nan nan nan nan
6 6 6 6 6 6 6 6 6 6 7 8 8 9 10 9 9 7 6 6 8 12 16 21 26 29 32 35 39 41 38 32 28 28 30 32 30 24 19 17 19 21 21 19 19 18 17 19 19 18 18 23 27 27 35 54 64 62 59 55 50 44 39 34 36 50 52 46 40 36 30 19 7 1 0 0 5 20 36 45 48 51 51 48 42 35 35 47 63 73 72 63 50 42 37 36 25 18 14 11 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 2 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 1 3 6 9 9 8 7 6 5 6 6 6 4 3 3 3 3 3 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 8 13 15 12 13 9 10 12 14 16 20 26 34 40 44 41 33 32 35 43 50 54 56 58 56 53 47 42 37 34 32 32 33 34 39 43 45 45 44 42 42 40 38 38 39 41 44 48 51 54 57 57 54 52 50 44 38 33 29 26 23 21 19 17 16 16 16 17 17 18 18 18 19 20 22 23 24 26 27 29 29 nan nan nan nan nan nan nan nan nan
6 6 6 6 6 6 6 6 6 6 6 7 7 8 9 9 9 8 7 6 6 6 7 8 13 19 24 28 34 41 41 37 32 30 30 32 30 28 26 25 25 24 21 16 13 11 11 15 17 16 17 20 22 20 24 42 62 66 59 53 50 47 43 40 44 57 64 58 53 47 38 22 7 1 0 1 6 25 43 53 57 57 52 43 35 29 31 42 57 64 61 52 44 40 37 35 30 24 16 10 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 1 2 2 2 1 0 0 0 0 0 2 4 7 9 9 8 6 5 4 5 7 7 4 2 3 4 4 4 1 0 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 4 5 2 4 9 12 14 18 23 30 37 38 35 31 28 26 28 33 35 39 42 44 41 39 35 30 26 24 23 25 26 29 33 35 37 39 39 37 35 33 31 30 31 33 35 37 39 41 44 46 47 45 42 39 35 30 26 23 20 17 15 14 12 12 13 14 16 17 18 18 19 20 22 24 26 26 25 24 nan nan nan nan nan nan nan nan nan
6 7 7 7 7 7 6 6 6 6 6 7 7 7 8 8 9 9 8 7 6 6 6 6 8 11 14 18 25 34 39 40 36 32 32 32 32 32 31 30 29 26 20 13 8 7 8 12 16 16 16 18 19 15 14 23 42 58 60 55 52 49 47 47 50 57 63 61 57 56 47 30 12 2 2 5 15 38 60 66 66 59 50 41 34 30 32 40 51 56 52 45 41 38 36 32 31 24 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 3 1 1 1 1 1 2 4 7 8 8 7 6 5 4 4 6 7 5 2 2 4 5 5 1 1 5 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 7 11 13 16 20 26 31 31 29 26 24 21 18 16 17 21 24 25 25 26 24 22 21 19 16 13 13 14 17 20 24 27 30 30 30 30 28 27 27 27 26 26 26 27 30 34 36 36 35 34 32 29 26 23 20 18 16 13 12 11 10 10 13 16 18 19 20 20 21 23 25 25 24 22 nan nan nan nan nan nan nan nan nan
6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 8 7 6 6 7 7 8 8 10 14 21 30 37 38 36 32 32 32 32 33 32 30 26 19 10 5 5 7 9 13 15 15 16 17 14 8 14 31 50 58 58 58 56 56 56 58 60 61 60 57 54 48 35 18 6 2 10 30 59 80 82 66 55 47 41 37 34 34 38 44 49 49 47 43 41 36 34 32 21 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 2 1 2 2 2 3 4 6 8 8 7 5 4 3 2 5 6 5 2 2 3 5 3 1 1 5 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 10 14 16 18 22 24 25 24 22 19 14 6 4 7 10 10 12 15 16 16 15 15 11 5 3 3 3 4 6 7 9 16 16 18 18 19 19 20 19 18 17 14 18 20 24 26 28 28 27 25 24 23 21 19 17 15 13 11 10 8 5 7 11 14 17 19 20 20 20 21 22 22 20 nan nan nan nan nan nan nan nan nan
6 6 6 6 7 7 7 7 7 7 8 8 7 7 8 8 8 9 9 10 8 7 6 6 6 6 6 6 6 10 18 27 34 37 35 31 31 32 34 34 31 24 17 8 2 3 5 7 10 12 13 14 16 15 8 12 30 48 58 62 65 66 64 60 65 66 65 60 55 50 46 38 26 16 17 29 48 70 89 89 68 52 47 44 41 37 36 38 42 45 49 52 50 45 37 35 30 16 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 2 1 1 2 2 2 2 3 5 7 7 6 4 2 1 1 3 6 6 3 1 1 3 2 0 1 4 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 10 14 17 19 20 19 15 12 11 8 1 0 0 2 2 2 2 4 4 5 5 2 1 0 0 0 0 0 1 0 1 2 4 5 5 5 5 5 5 7 6 7 11 16 20 22 23 23 21 19 17 16 14 12 10 9 9 8 7 4 2 4 7 10 14 16 16 17 17 18 18 17 17 nan nan nan nan nan nan nan nan
9 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 10 10 9 8 6 5 4 4 4 4 5 6 9 16 25 34 37 34 30 31 35 36 29 21 13 6 1 1 3 5 7 10 12 13 15 16 12 10 26 46 57 61 63 63 60 58 67 70 72 71 68 63 57 49 41 37 38 44 50 66 84 90 76 56 48 45 40 35 34 37 39 42 46 52 54 46 38 34 20 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 1 0 0 1 1 2 2 2 4 5 5 4 3 1 0 0 2 5 7 4 0 0 1 0 0 0 3 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 9 12 12 9 5 2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 4 8 10 13 17 18 17 13 10 8 5 2 3 3 4 4 5 4 3 2 2 2 4 6 8 10 11 12 13 13 13 nan nan nan nan nan nan nan nan
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